Find the derivative of the function. (Factor your answer completely.) f(x) = (x + 1)e %3D

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(2x – 1)(x – 1)]¬1/3 h'(x)

A: To find detivative of the given h(x)

Q: FINAL ACTIVITY: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTION.WRITE THE ANSWER INTO SIMPLEST FORM: y…

A: Given y=x363x

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

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Q: r* - 6 Calculate the derivative function of g(x) Write your result as a single fraction. %3D 4x + 1…

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 4x0.5 + 9x−0.5

A: Consider the given function, fx=4x0.5+9x-0.5 The derivative of the function can be defined as,…

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (3x − 1)−2 f '(x) =

A: Given the function is f(x) = (3x-1)-2, we have to calculate the derivative of this function.

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = square root of 9x+x^2

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x.…

A: Let's find.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x3…

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Q: x- 1. a. Find the derivative of y =

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Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

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Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x−2 − 5x−1 − 6

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Q: Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = −5/x

A: Formula       f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function. 5х-7 y = 2x + 1 The derivative is y' =

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Q: f(x) = x2 - e* 5 Find the value of x for which the second derivative f'(x) equals zero.

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = 1/3x-1   f '(x) =

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Q: Find the derivative of the function. t3 2 h(t) = + 9. h'(t) = Need Help? Master It Read It

A: Here we use logarithmic differentiation

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] f(x) = x2 + 1 %3D…

A: Derivative of algebraic function:               ddxxn=nxn-1

Q: Find the derivative of the function. y = e−4x5 y' =

A: Given y=e-4x5We know that ddx(eu(x))=eu(x)*u'(x)=e-4x5*ddx(-4x5)=e-4x5(-4*ddx(x5))

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? |(fg)'…

A: We have to use chain rule of differentiation.

Q: Compute the derivative function  f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 9x2 + x…

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] h(x) = 6/x - 2/x3 +1/x4

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) =  1/x  - 1/x^2    g'(x) =

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 6x2 + x…

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] 1 g(x) x7 | g'(x) =

A: Differentiate wrt x

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (x4 - x)4

A: Given that the function is        f(x) = (x4 - x)4 Here we calculate the derivative of the function.…

Q: Practice Exercises Obtain the derivative of the different functions using the definition of the…

A: Note:- This is multiple sub parts questions. According to our company law i can do maximum 3…

Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

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Q: Find the derivative of the function g(x) 4 – 2x g'(x)

A: We have to find the derivative of the function g(x)

Q: Homework: (1) Using the definition of derivative, find the derivative of the following functions:…

A: Given problem is :

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (5x - 1)-2 f'(x) =

A: f(x) = (5x-1)^-2 f'(x) = -2(5x-1)^-3 * d/dx (5x-1) f'(x) = -10(5x-1)^-3

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = 8x−1 + 6x−2

A: Recall: df(x)±g(x)dx=df(x)dx±dgxdx dxndx=n xn-1

Q: Find the derivative of the function. (Factor your answer completely.) f(x) = (7 – e-2x)8 f'(x) = %3!

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Q: Find the third derivative of the given function. gt1) = (G)? - 2)

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Q: Calculate the derivative of the function. HINT [See Example 1.] g(x) = (2x2 + x + 4)−3 g'(x) =

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Q: e Find the derivative of the function g(x) = 3+ 5x g'(x) = > Next Question

A: We have to find the derivative of  g(x)=ex3+5x

Q: et Find the derivative of the function g(x) 3 – 4x g'(x) = Preview %3D

A: gx=ex3-4x

Q: Compute the derivative function  f '(x)  algebraically. HINT [See Examples 2 and 3.] f(x) = 7x2 +…

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Q: Consider the function: f(x) = (x² + 1)² Step 1 of 2: Find the second derivative of the given…

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 3x-1- 2

A: Given function is

Q: fihd the deriVatives of the functions. (a) f)=メ+ 5x +

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0)…

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x)…

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: how do i find the derivative of the function ?

A: Given function is,

Q: Consider the function: f(x) = (x² + 10)² Step 1 of 2: Find the second derivative of the given…

A: Topic - derivative

Q: Find the derivative of the function. HINT [See Examples 1 and 2.]   h(x) =  7/ x −  2/ x3 +  1/ x4…

A: The given function hx=7x-2x3+1x4      =7x-1-2x-3+x-4 Differentiate with respect to x using the…