Q-1] Find the derivative of the function -9 9 -7 -4 -3 9. 3 6- f(x) = det 6 -1 -2 5 -8 -8 1

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.      f '''''(x) =…

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Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: 5. Consider the function { Va if 01 f (x) = What is the derivative function for f(x)? What is the…

A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

Q: Find the first and second derivatives of the function. G(r) = sqrroot(r) + 9sqrroot(r) ----> r^1/9…

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Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16.…

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Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

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Q: 3. lim(5 1) x-0 Q2/ Find the derivative of the function f (x) v4 -x by definition !3!

A: When limit is of the form 00or ∞∞ then L Hospital's rule is used . In this rule, take derivative of…

Q: Pregunta 15 The derivative of f (x) = 81-2z² is f' (x) = (-4x) 81–2z² OTrue O False

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Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex

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Q: 7 1 The first-order derivative of f(x) = x ´ +x ´ is 3 2,5.7 5/2 VO

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Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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Q: Determine the 2nd derivative. x^2 + 4xy + y^2 = 2

A: Given equation x2+4xy+y2=2

Q: 75. F(x) has a negative derivative over (-, 2) and (5,9) and a positive derivative over (2, 5) and…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the derivative of the function f(x)=x^5(1-(1/(x+4))   f'(x)=

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Q: Find the derivative of the algebraic functions 6. f(x) = x (1-) x+3, 7. g(x) = x+ cotx Find the…

A: the given functions,6. fx=x1-4x+37. g(x)=x+cot x8. fx=4x32

Q: Find the equation f(x)=1+csc(x)-√ cos(x) at the point (2π/3,4+ √ 3/2 √ 3

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Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4.…

A: Topic:- function and derivatives

Q: Ах3+ Вх + 2 , x2

A: Solved below

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: ind the first derivative of the function: y = 4x - 2x3 + 5 (ii) Differentiate the following…

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Q: Use central difference method to estimate the 1and 2nd derivatives of the following function at x=3…

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Q: Find the derivative of the function. f(x) = ex2 + 2

A: We use the chain rule for derivative

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: sinz 3. а) Find the derivative of the function f(x)= [ (1-r²) dt using FTC-1. 3a. b) Verify the…

A: To find -  Find the derivative of the function fx = ∫cosxsinx1 - t2 dt using FTC-1. Verify the…

Q: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

Q: Find an anti-derivative for each function in C equals zero

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Q: Example3: a) Find the derivative of f(x.r.:)= r - -: : at P(1.1.0) in the direction of 1= 2i-3j-6k.

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Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

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Q: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: FIND THE DERIVATIVE OF THE FUNCTION DESCRIBED. (25 1. y (x2- 1) (2x+1) 2. y 2x2 (4x² + 3x- 5) 3 y +1…

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Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

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Q: 5* The derivative of the function: f(x)= 5* + 7 7.5 In5 (5* – 7)2 7(5 In5) (5 + 7) 7(5*ln5) (5* +…

A: According to the problem, we have

Q: Estimate the derivative of the function f(x) =8-8x at the point x = 9. Select the answer rounded…

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Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

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Q: Find the derivative of the function using the definition of derivative. F(v) v + 8 8 F'(v) = (x+…

A: To find the domain of the derivative function F(v) = v/(v+8)

Q: 31. Using one-sided derivatives, show that the function f(x) = {2. [x² +x, | 3х — 2, х> 1 does not…

A: Given: fx=x2+x     , x≤13x-2   ,  x>1

Q: 11) у %3D 14-X Find the derivative. ex 8) у %3D In x

A: topic - derivatives

Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: Find all x-values where g(x) = −(x^3 )+ 3(x^2 )+ 9x − 20 has a horizontal tangent line (that is,…

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Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

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Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: find the derivative of the functions : f'(x)=x(2x-9)^3 y'=x^2squared root of 25-x^2…

A: We have to calculated the derivative of the given functions.

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10.(a) Find the derivative of the function f(x) =x² +2 using the definition of derivative. (b) What…

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Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

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Q: Q1. (1) The finite-divided difference approximations of the first derivative of the function f(x)…

A: The order of approximation deals with the Taylor series with a remainder. When the error is…

Q: 6. Find all relative extrema of the function h(x) = -3x5 + 5x3 using the Second Derivative Test.…

A: Relative maxima and minima

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.