Use the function f and the given real number a to find (f-1)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.) f(x) = x3 + 7x – 1, a = -9 (F-1)'(-9) =

Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: If f(x) In 2 + e9x find f '(0). f '(0) = | 9/2

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Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: Which among the choices has the first derivative that is e (2x+1) (x +3) ? Of(띠) 3D + 글z2 + 2x-8 O…

A: given function has first derivative is f'x=2x+1x+3    f'x    =2x2+7x+3

Q: 3.7 The derivative of f(x) = 1/(1 – 3x²) is given by %3D 6x (1 — Зх?)2 - Do you expect to have…

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

Q: Find the indefinite intergral of 1/(e^x -1)

A: To Find the indefinite intergral of 1/(e^x -1)

Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

A:

Q: 4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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Q: Which of the following shows how to find the derivative of f(x)? f(x) = 3x*(5x? - 6) %3D…

A: The 2nd option is the correct option. Consider the formula for the product rule for differentiation.…

Q: Find the third Taylor's polynomial f(x) = x3 – x² + 3x + 1 which can easily find the derivative at…

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Q: - Find the derivative o y with respect to n ort. 4 4 16

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Q: Find the second derivative of the function y=x(x² – 1) (А) 4x(5х2 - 3) в) 2x(5x2 - 6) (с) (2х -…

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Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3x+7x What is the first derivative of f(x) = In(A? 5x Select the correct answer below: Os) = 6x-7…

A: Topic:differentiation

Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: Obtain the first and second derivative of the following real-valued functions 1. ƒ : R → R, such…

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

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: The action of a waterwheel can be modeled by the function y = 3 cos(T (x - 3) + 2). Within the…

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Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

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Q: Find the derivative of the function. g(x) = In| 8x – 9 | a. 8x -9 Ob. Sx -9 O. none of these 1 Od. -…

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Q: What is the anti-derivative of q(x) = 2e+5 3x 3 ? (Do not include the constant C in your answer.)

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Q: 25. Find an equation of the form f(x) = a · b* such that f(0)=64 and f(2)=4. Show your work.

A:

Q: 3 2x 11-8 n x³ + 1/ 5 where [ ] = G.I.F If lim /2n dx = k, find the value of [1] + 2013.,

A: Solution :

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

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Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

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Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…

A: Please see the explanation below

Q: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: Find the linearization of the function at a. 1. f(x) = x^4 + 3x^2, a = -1 2. f(x) = sin x, a =…

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Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

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Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)…

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Q: Using the definition of a derivative, find t'(3) given t(1) =2 -9z-1 %3D

A:

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Q3) Draw the following functions: (2-2x, x 3 1)f(x) = 2)y = -sin 3

A: Given: The functions are given as 1) f(x)=2-2x,x<-14, 2x-2-1≤x≤0x>3 2) y=-sinπx3   To graph:…

Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

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Q: Given f(x) In(5x) the derivative 5 f'(x) is 1 5x 1 5x O 5 O x5x 1

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Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k>-1

Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: