A. Learning Activities : Direction: For each function, find the indicated derivative with respect to x. 1. Find the f""(x) of f(x) = 4x²-5x?. 2. Find the f" (x) of f(x) = 5 3. Find the f"(x) of f(x) = – 5x %3D

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: х7 + 5x6 — х3 f(x) = x?

A:

Q: We need to think backward here: What function do we know has a derivativeequal to the given…

A: Given that the derivative is F(x) = x2   So, we have to find the antiderivative of F(x)

Q: 18. Find the derivative of the function using shortcut rules. Simplify for extra credit. 7 f(x) = x4

A: Explanation and solutions is given below.....

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: Using the definition of a derivative, find y (5) given y(z) -6z+4 6z-2 %3D Provide your answer…

A: Given function: yx=-6x+46x-2

Q: Find all possible functions with the given derivative. y'=-5+7/x^2

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Q: 7) Find the derivative of each function a) y=x'e

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Q: 34 - What is the value of the first derivative of the function at x = 2? A) 2 B) 1 C) -2/3…

A: Given y=ln[(x+1)/(x-1)] To find the first derivative at x=2

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

Q: 45° а. с. b. d.

A: (a) From the given graph, it is the straight line that is parallel to x-axis. Therefore, the…

Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

Q: 10 Зх — 1 Find the derivative of the function F(x) = 2 – 3x Answer

A:

Q: II. Find the first, second and third derivative of the function s = 3(8t" – 7)"

A: s = 3(8t4-7)4

Q: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: Attempt in Progress Find the derivative of the function given below. f (x) = 5xe"

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Q: Find the derivative of function defined as follows.

A: Given :              p(t) = 2t+334t2-1     can be derived by chain rule.       Chain rule states…

Q: Find the derivative of the function. y = 12 + 5

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

A:

Q: Find the derivative of the function.

A: hs=-25s2+3

Q: 9. Find the derivative of the following functions (show all the steps for full credit): D f(x) = =…

A: Derivative of ex is ex

Q: 2. Fill in the appropriate derivative rule information for the function y (2-e")V6x-1 in the table…

A:

Q: 4х — у (A) х+у 4х + у (B) х+у 4х + у х+у 4х — у D х+у

A: The given function is:4x2+2xy+y2=0

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: Q1: Using the definition, calculate the derivative of the following function. f(x)=4-x

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Q: Find the derivative of the function. 5/2 9(3) = (s* g(s)

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Q: Find the derivative of the function.

A: the given function is: hs=s5+2s+6s13 we have to find the derivative of the given function.

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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Q: 5e* Find the derivative of f (x) Зех+1

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Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Find the derivative of the function. g(x) =(e^x/(x^2+10)^4)  g'(x)

A: We use the product rule to find the first derivative g'(x)=exp(x)(x^2+10)^4+exp(x)*4(x^2+10)^3*2x…

Q: (0. §) Find the equation of the function f whose graph passes through the point and whose derivative…

A: you can clearly understand if you follow the below solution

Q: Consider the following. x² f(x) = x + 7 Find the derivative of the function. f'(x) = x(x+14) (x+7)²…

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Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: 3- Find the first derivative at the point x = 1.3 of the function that tabulated below 1.6 2 2.3 y…

A: Let us consider set of data points: x x0 x1 x2 y y0 y1 y2 Lagrange interpolation formulae is…

Q: Find the derivative of the function.

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Q: Find the derivative of the algebraic function.

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Q: The derivative of a constant times a function is 0. OTrue O False

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Q: 1 :) 100 is equal to The derivative of the function esin x

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: # 1) Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. www…

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Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: Ose the definition of a derivative to the derivative of the following functions. x + 3 h(x) %3D 2x -…

A: Recall: Definition of the derivative : f'(x) = limh→0f(x+h)-f(x)h Quotient Rule of differentiation…

Q: s measured by the derivative o

A: Which of the following values is measured by the derivative of a function? a. how steep its graph is…

Q: Find the second derivative of the function. s = + 9t + 5

A: