Question 8 X-2 If f(x) = x2 +4 then what is the derivative of f at x=-1?

Q: Let f(x) = 1/(x-5). Find the derivative f' of f. Find an equation of the tangent line to the curve…

A: This questions is related to differentiation,  We will solve it using given information.

Q: Topic is numerical differentiation Evaluate the derivative if a = 68, b = 0.4, and c = 5 at x = 2…

A: Introduction: Through numerical approximation, we can approximate the value of the derivative of a…

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: Can you help me step by step?

A: Consider the given function.

Q: ind the second derivative of ?=2+1/x

A: Given that: f(x)=2+1x

Q: -가 Question-2 a) Find the derivative of f(x) = 2x? –- at x = 3 using definition of derivative at a…

A: As per our guideline we are supposed to be answer only one question

Q: 8. (f g)' (-3)

A: In this question we have to find the value of fg'-3.

Q: 25310+5 25802.20 Evaluate the derivative of the given function at the given point. SHOW ALL WORK.…

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Q: : (15 points) Find the first derivative of each function. a) f(x) = ln(e* + e¬*) %3D

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Q: a f(x) = x² sec (ax)

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Q: Example 0-12: What is the derivative of f(x) = 4x(x² + 1)3?

A: given

Q: The graph of the function has one relative extreme point. Plot this point and check the concavity…

A: Given - fx = -6 + 2x - x2 To find - The graph of the function has one relative extreme point. Plot…

Q: f(x) = x2 + 1, x ≥ 0. Solve for the derivative of the inverse at the point (5, 2).  Note: Do not…

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Q: Using first principles (by definition), prove that the derivative of a constant is 0.

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Q: Question 1 ever method you prefer. Show your work, so if using power rule or linearity of…

A: This is solved using the rule of derivarive

Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions.…

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Q: Question 1 (.. ever method you prefer. Show your work, so if using power rule or linearity of…

A: a) f(x)=4x3+12x2b) f(x)=x2+2x+4c) f(x)=32x2+7x+8

Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: Question -2x – 4 Find the derivative of the function y = 3æ³, 3x3 using logarithmic differentiation.…

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Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: /1 Points] DETAILS PR Find the derivative of the function. y = sin(tan 7x)

A: Given the function  y = sin(tan 7x) we need to find it's derivative. Formula :  Let y = f(g(x)) then…

Q: Question 1 definition of the derivative (do not use general derivative rules). Be sure to specify…

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Q: Question 8. tive of the function Using the limit definition of derivative compute the deriva- 1 f(x)…

A: Given function is fx=3x−1x+1. We have to find the derivative of the given function by using the…

Q: 10-37 Find the derivative of the function. 1 10. f(x) = Vx2 – 1 -

A: As per our guidelines we are supposed to do only 1 question at a time. Please ask other questions as…

Q: THEOREM 3.14 Derivative Involving Absolute ValueIf $u$ is a differentiable function of $x$ such that…

A: It is given that u is a differentiable function of x such that u≠0. Now find the derivative of the…

Q: 3. Happy new year! Let f(x) = x² cos(x), to celebrate the year 2022, find the value of f(2022) (0),…

A: Just I have used the maclaurin series definition of a function and easily find the required…

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: Equation of tangent line is : y - y1 = m ( x - x 1 ) Here m is the slope of tangent line .

Q: Question 1 definition of the derivative (do not use general derivative rules). Be sure to specify…

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Q: (1 point) Let h(x) = f(x) · g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact…

A: Find your answer below

Q: 1 Definition of Derivatives Use the definition of the derivative to find f(x). 1. f(z)-3-4e +5 3.…

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Q: Question Determine the derivative of f(x) = In(xV? + 1). Provide your answer below: (x) =O

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Q: Question 1 ( either computing ARCS on intervals around "a" or by limit rules (do not use general…

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Q: Question 7 Consider the graph of the second derivative of a function f on the interval (a, 6). It is…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: 1-2x a. Find the derivative of f(x)= 3+x using the definition of the derivative. Then find the…

A: Here we will find derivative by definition of derivative and tangent line at x=0 and meaning when…

Q: Example: Let f(x)=x^2-1/x^2+1 The first derivative is shown in the image below.

A: Given f(x)=x2-1x2+1

Q: 3. If f and g are the functions whose graphs are shown below, let u(z) = f(g(x)), v(x) g(f(r)) and…

A: Given:-                 u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)). Find each derivative, if…

Q: Question 1 definition of the derivative (do not use general derivative rules). Be sure to specify…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A 1. Determine algebraically the values of x for which the derivative equals zero. a) f'(x)= 21 + 7x

A: To find the value of of x where derivative equal to zero, we first make the derivative equal to zero…

Q: Use alternative form of derivative to find derivative at x=c f(x)=x^3+4x^2+3, c=-4…

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Q: Page > of 2 1. Find the derivative of function z. Assume A and B are constants. + Bey

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

Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: All QUESTION 1 Find the derivative of f(x) = 6x Do not include "f'(x) =" in your answer. For…

A: Identity to be used - ddxxn = nxn-1

Q: Definition: "The derivative of a function f with respect to the variable x evaluated at x = a is"..…

A: Answer

Q: Example 3.25 f (1,2) = 3 and the derivative of the function f at the point (1,2) in the i + j…

A: We have the function f(x,y) Now, the formula for derivative (more precisely directional derivative)…

Q: Part I: Find the derivative. Show all workow all y = e$x²-x 3.

A: The given equation is: y=e5x2-x

Q: Question 5. Use the first derivative test to find and classify the relative extrema of x2 f (x) =…

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