Q: a) By using the graph of function y = cos x, graph the function y =- cos (3x +) x-8
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 1. Find the first derivative of the function g(z) = 8x – 36x – 96x. - g'(x) = 2. Find the second…
A: We have to find As per guideline we have to solve 3 subparts
Q: [xus (2) x+10) xuIsx(p) x(1) (k)1 ×sinx (1x [x][a] (k) 1 x (m)xcosx
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Q: Let y = (2x + 3 sin(x))4. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…
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Q: 3. Find the derivative of g(r) = Do Not Simplify. +1
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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)
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Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex
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Q: 1 3.| y = xSin(x) + (1 – ÷x²) Cos(x) (1-**) Cos(x)
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Q: 6. In(x³y²) = x² +y³
A: Let's find second derivative of given function.
Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x
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Q: undetermint coedticients 11 ON-4y = G²-3) sin x
A: The given problem is to solve the given non homogeneous differential equation using method of…
Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…
A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .
Q: 4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2
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Q: x = 1. 2. Find the derivative of f(x) = 3x² - 5x at x = 1 using the formula f'(x) = lim f(x)-f(xo)…
A: The given function is fx=3x2-5x at x=1 by using the formula f'x=limx→x0fx-fx0x-x0. Find the…
Q: Use differentials and the graph of g′ to approximate (a)…
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Q: 4.x Suppose f(r) = if x >2 if x < 2 4 Find f'(2) using the definition of derivatives.
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Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…
A: a.) Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here ** y = ax…
Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the…
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Q: Q. 2. a) Find nth order derivative of f(x)= ln(2x-7). b) Find 3rd order derivative of y with respect…
A: The function fx=ln2x-7. The first derivative of the function fx=ln2x-7 is computed as follows,…
Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)
A: Function
Q: 6. Find the derivative of the following (express answer in simplest form): 1+ sinx a. f(x) = In…
A: Topic = Derivative
Q: Let y = (3x + 2 sin(x)). Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using the…
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Q: 2x-5 4. f(x) = x2+4x-5 sin x 5. f(x) = cos x
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Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…
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Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9
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Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…
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Q: 1) Determine the derivative o a) f(x) = -4e*² b) y = cos(3*) c) g(x) = -2 sin3 (2x) %3D %3D
A: Note: Multiple subparts are given, we are answered with first three parts only, if you need more…
Q: 1 2. Let F(x) = | dt 1+ (In t)² Find the derivative F'(r). Simplify your answer.
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Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…
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Q: Solve for the derivative of the given functions using the Chain Rule formula. a.) Let f(x) = √(x2 +…
A: Solution
Q: 2 6. Consider f(x) x + 1 a. Find f'(x) using the formal definition of the derivative. b. Find the…
A: Solve the function
Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =
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Q: Let y = (2x + 3 sin(x))³. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…
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Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…
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Q: (x² + 6)cotx 3 – cosxcscx Find f'(x) when f(x) 6cotx – 3(x² + 6)csc²x + 2xcot?x f'(x) = (3 – cotx)?…
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Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+1) b. h(x) = x² sin x
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Q: 3. Find the derivative of the following a) f (x)=x² sin (5x) (" \ b) ƒ (x)=e %3D e) f(x)=…
A: Part (a)
Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.
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Q: 1. Find the derivative of f(x) = e" (x² – 1)ª. Make any obvious simplifications.
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Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…
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Q: Disprove the statement ln(xy) = (ln x)(ln y) by, a) Letting y equal a positive constant of your…
A: We know the logarithmic formula for the product of x and y as: ln (x y) = ln x + ln y Let, ln x = a;…
Q: Find the first derivative f' and the original function f. f"(x) = x³ – 14x + 4, f' (0) = 7, f(0) = 6…
A: Given:f''x=x3-14x+4 ; f'0=7 ; f0=6We need to find f'x and fx.
Q: (x²+1)* Find the derivative with respect to x: y = In /1-x
A: The given function is: y=lnx2+151-x
Q: 3π f (x) = tan (x + with h 3 at x = || - 4 180
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Q: b) g(x) if g(x) = x² sinh x
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Q: 1-x Find the derivatives of the following functions sinh' 1+x
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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 10x + 10, f' (0) = 2, f(0) =…
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Q: ez - x - 1 lim 1-0 -1+cos r COS T
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Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)
A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5
Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)
A: We are authorized to answer one question at a time, since you have not mentioned which question you…
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- What is the composition of two functions, fg ?Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.