Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)
A: ANSWER :
Q: 2. g'(x) where g(x)= x² +7x-5
A: differentiation by using first principle
Q: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)
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Q: Find the first derivative for the following function. Vx4 – 3 (2х — 5)"] f(x) = ln (2x-5)7 Vx4-3 2x3…
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Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…
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Q: Suppose 8 (x): c-(x²). what is the derivative of g with respect to x? = sec 2 A 8 (x)=- xV1-. B…
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Q: 1. Find the derivative using chain rule. (a) f(x) = (x5 – 2)20 %3D Answer: (b) f(x) = V3r² + 1 %3D…
A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…
Q: 5. Find the derivative of the function. f(x) = x°/1- 8x x(16-136x) 2/1-Sr x'(16+136x) f (x)3D 2/1-8x…
A: The function is given by,
Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D
A: Given that: g(t)=23t.ln(2-5t)
Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…
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Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…
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Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2) a=1
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Q: Find the second derivatives:y^n for y=1/8x^4-1/3x^3+3/4x^2-3x+5 And f(x)=2x/5x-2
A: (i): Given : y=18x4-13x3+34x2-3x+5 f(x)=2x5x-2…
Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…
A: gx=5x-x3hx=3x+4fx=5x-x33x+4
Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…
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Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…
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Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f…
A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x)…
Q: Find the derivative of the below functions: In(x) y = 1-8 In (x) y' = (a) = In(/ 5x – 7) y = INV5X -…
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Q: sketch the shifted exponential curves y = 1 - ex and y = 1 - e-x
A: Given The parent exponential function y=1-ex . To find the graph of the exponential function…
Q: Q. 6. Consider f (x) = -* + 2x + 1. x3 3x2 3 Use derivatives to separate the regions where function…
A: If f′(x) > 0, then f is increasing on the interval,and if f′(x) < 0, then f is decreasing on…
Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy
A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy
Q: 1 Find the derivative of the following function: f(x) = e2X(3x² - vx) 2e2X(6x - 1/x) O e'(6x -…
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Q: Question (3) Estimate the first and second derivatives of f(x) =-0.1x 4 - 0.15x 3 - 0.5x 2-0.25x+…
A: Solution:Estimate the firts and second derivative of fx=-0.1x4-0.15x3-0.5x2-0.25x+1.2at x=0.5 and…
Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…
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Q: = x³y² – 3x²y + 5x – 3y + 12
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Q: Q1-Find the derivatives of the following funetions using the defir 1. y=x-x 2. y-3/5х 3. y=x 4.…
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Q: The first derivative of the given function is y = In(1 – 2x)³(2x + 1)? 10x+1 2x+2 1-4x2 1-4x2 20x+2…
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Q: Evaluate the derivatives of the follow separate sheet of paper. 1. у%3 4x — 7 2. y = cos(x) + 4x 3.…
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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 5. h(x) = 2-9, 3 x+5 %3D 6. A(x) =…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…
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Q: Find the derivative of the function. x+6 g(x)=| x2 +4 5(4 – 12x +x?) ( 6+x (4 +x²) a. g'(x)= 4+x?…
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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)3 5. h(x) x+5 = x2-9, 6. A(x) = v3x3 +…
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Q: Find the derivative of the function. y = (3x + 1)°(x+ - 6)° A y=(32x +9)(3x +1) (x*-6)° B y' = 9(3x…
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Q: In(4x Given f(x) = the derivative f'(x) is 4 1 4x 1 4x O 4 O z4z
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Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…
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Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…
A: Please see the explanation below
Q: 8) Find the derivatives of the following: a) f(x) = 4e* – 2x + 5 b) f(x) = ln 2x² c) f(x) = (4 – x)5
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Q: Find the first and second derivatives of the function. 16 L(t) = 1+2.leS L'()=-16(1+2.1*)*(2.10*)…
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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 3 5. h(x) x+5 = x2-9, 6. A(x) = v3x³…
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Q: Compute the derivative of the following: 3 g(x) = 5 2x'x 4.
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Q: Find the derivative of the following function. x4-3\1/2 x2 +5 25 + 10x3 +3x y' 3= (22 + 5)2 None of…
A: To find the derivative of the given function.
Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…
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Q: Match the functions in Column A with their derivatives in Column B. 1. f(x) = 4 А. f'(x) = 8x 2.…
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Q: Suppose 8 (x) = V x²+1, What is the correct result of the second derivative of g with respect to x?…
A: The function is given by gx = x2+1 To evaluate: The expression of g''x.
Q: Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e.…
A: Given: c. fx=lnx2+4ex d. y=axebx e. y=e3x3-x2+5x-6 To find : Derivatives using chain rule. Formulas…
Q: 1. Find the derivative of the following by using the Theorem. a. y = In(3x3 – 6x +9) b. y = In[(2x –…
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Q: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 - 4
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Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D
A: We know that ddxxn = nxn-1 and ddxpxn = p ddxxn = p× nxn-1 = pnxn-1
Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - %3D 5. O 21x^2 - 4x + 4 + C O 21x^2…
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- A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and (2,-4). The answer y=0.096x^3+0.144x^2-1.728x+1.888 is incorrect.find the values of a and b for a rational functional of the form y= ax/x+b with a vertical asymptte at x=2 and horizontal asymptote at y=-5
- Find the linearization L(x) of the function f(x)=x^4+3x^2+1 at x=0.If the function h(x)=(x-5)^5 is expressed in the form f o g with f(x)=x^5, then find the function g(x). Is this a decomposition problem? Why is the solution (x-5)^5? How can g(x)=h(x)? Thank you for the helpFind the linearization L(x) of the function f(x) = x^4 -2x^2+3 at x =0.
- 4. If g( x)=12f (3 x−1)+8 , what transformations are performed on f (x) ?a. Horizontal stretch, left 1, vertical stretch, down 8b. Horizontal compression, right 1, vertical stretch, down 8c. Horizontal stretch, left 1, vertical compression, up 8d. Horizontal compression, right 1, vertical compression, up 8Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula will we get?Find the linearization of the function f(x)=ln(2x+3) at x=-1
- Let y=f(x) be a cubic polynomial with leading coefficient, a=1; containing the ordered pair (2,0) and a zero at x=2i. Find the function, f(x), that has these characteristics.Consider the function f(x) = e0.3x. Use your calculator to answer the following questions. Determine the derivatives in the point a = 2. Give the values rounded to five decimals. f(0)(2) = f(1)(2) = f(2)(2) = f(3)(2) = f(4)(2) = Determine the third degree Taylor polynomial of f(x) = e0.3x about a = 2. Give the coefficients rounded to five decimals. T3(x) = Determine the value of the function in the point 5.2. Give the value rounded to five decimals. f(5.2) = Determine the value of the third degree Taylor polynomial of f(x) = e0.3x about a = 2 in the point 5.2. Give the value rounded to five decimals. T3(5.2) = Determine the absolute error between the function f(x) = e0.3x and the third degree Taylor polynomial of f(x) = e0.3x about a = 2 in the point 5.2. Give the value rounded to five decimals. |f(5.2) - T3(5.2)| = Determine the third degree remainder term of f(x) = e0.3x about a = 2. Give the coefficient rounded to five decimals. R3(x) =( )e0.3c(x- )4 Determine the…given that the instantaneous rate of change of a polynomial is never zero on the entire domain of the function, what can you state about the function’s behaviour?