5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x5 + 4.x³, c = 9. (b) f(x) = 3t – , c = -2.

Q: Use the chain rule to find the derivative of f(x) = 3(9z* – 82®)5 - You do not need to expand out…

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Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

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Q: Find the fourth derivative of ƒ (z) = 2z¬3 f(4) (z) –

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Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: Find the derivative of function defined as follows.

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Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x)…

A: Solve differentiate

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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Q: 1 Find the derivative of f(x) = 2x + 3

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Q: Find the derivative of the function f(x)=(x2+1)^3(3x+4)^4 at x=−1

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Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

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Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: Find the derivative of the function. f(x) = V5x + 4 f'(x) =

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Q: 5, i, Evaluate the first and second derivatives of the function z-2x4+3x3+2x-5 when x = 4.

A: We have to find the first and second derivative of the function z=2x4+3x3+2x-5 when x=4.

Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Find the derivative of f(x) = (10z (1026 + =2 – 1)° f' (z) =

A: Given function

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: What is the relative error in estimating the first derivative of f (x) = 25x - 6x? + 7x -88 at x-2,…

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Q: 16. Use the limit definition of the derivative to find the instantaneous rate of change for the…

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Q: Find the derivative with respect to x of f(x) = V5x + 4. f'(x) =

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Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Find the second derivative of the function. f(x) = 5(2 − 7x)4   Show your work

A: y''=?

Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides…

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

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Q: Find the first derivative of the function * 4 f (x) = Væ + 4

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Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: 2. Find the derivative of f(x)= 2х — 3. Зх + 4

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: What is the derivative of f(x)=4/3x^5/4 at the point x=4?

A: we using derivative nth degree formula to compute derivative

Q: Find the derivative of the function 4/ f f(x) = V (x – 3) at x = 2. f'(2) =

A: fx=x2-354⇒fx=x2-354 Differentiating with respect to x, we get f'x=ddxx2-354=54x2-354-1·dx2-3dx…

Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: 4. The derivative of the function f(x) = r +3) is

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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