For the function f(x)=3x", evaluale : f(Xth)=

Q: Find the derivative (f' (x)) of f(x) = Vx + 2 . %3D

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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: Let f(x) = x2 – 2.x. Use the definition of the derivative to calculate f'(3) %3D -

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Q: f(x) = v3x – 5 %3!

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Q: Use the second derivative test to find the extreme values of the function J () = x³ – su² 24X .

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Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Find the second derivative of the function.

A: From the given data:

Q: Find f'(x) using derivative rules, f() = V + 2. メジ %3D

A: Given:…

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

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

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Q: Find the first and the second derivatives of the function. f(x) = (8x + 8)³ f'(x) = f"(x) =| %3D

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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: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: Find the derivative of the function f(x) = 9x2 - 15x by the de f(r + h) - f(x) f'(x) = lim h>0

A: f(x)=9x2-15x

Q: Find the derivative of the function f(x) = x2 - 5x + 3 at the numbers (a) 2 and (b) a. %3D

A: a. From the definition we have the following, Simplify further,

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

A: Here is the solution

Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

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Q: Find the derivative of the function.

A: We use the quotient rule

Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

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Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

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

A: Solution: dydxx=1=2xex

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

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

A: y''=?

Q: Find the derivatives using the four step rule: f(x) = 1-x2

A: Explanation of the answer is as follows

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer…

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Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: F(x)=In(52x+n • (x+2) ) %3D

A: Find the derivative of the function

Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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Q: Find the derivative. h(x) == 2* %3D

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Q: Find the derivative of f (x) = (x° – 4x (2² + - 8z – 2). %3D f' (z) =

A: We need to find the derivative of given function.

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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

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Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=4f(0)=4 and…

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Q: Find f' (8) from f(x) = V7x – 2 using the definition of a derivative. (Do not include "f'(8) =" in…

A: This question is related to deivative.

Q: Find the first derivative given that f(x) 5x V2r+3

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Q: Use the chain rule to find the derivative of f(x) = 3e10z° +9x* f'(x) %3D

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Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

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Q: Find the derivative of the function f(x) = x6x. %3D

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Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: Differentiate the function y=(1−x)3 without using the chain rule.

A: Differentiation: y=(1-x)3 y=1-3x+3x2+x3ddx(xn)=nxn-1

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

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Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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