Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) = | (t – t7)®dt g'(s) = Need Help? Read It Watch It Talk to a Tutor

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: Dircc tion: Find the derivative of the following function: y= X1og10x %3D

A: Given function is  y = xlog10x

Q: the Fundamental Theorem of Calculus to find the derivative of the function. Simplify answer 5x g(x)…

A: Topic:- calculus

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y =xvx² –…

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Q: Example: Find the derivative of each function. (a) f (æ) = (4x³ – 5æ)" - (Б) g (х) — е2^ . cot z (c)…

A: As we know that the differentiation properties:- (f(x)g(x))'=g(x)f'(x)+g'(x)f(x) Chain…

Q: Find the derivative of the function f(x) = x? – x at a = 3 by definition- f(a + h) – f(@) ) (Recall…

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Q: Using the definition, find the derivative of f(z) = 3 z4-6 z? at point z= 0

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Q: Use the Fundamental Theorem of Calculus to find the derivative of . 20 F(x) tan(t*)dt F'(x) = [NOTE:…

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

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Q: 23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

A: Here is the solution of the given problem. Derivative: By chain rule

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Compute the derivative function f '(x)algebraically.  f(x) = x2 − 5

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Q: Jse Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = V5…

A: We area asked to find the derivative of the function using fundamental theorem of Calculus

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

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Q: Which of the following describes the derivative function ƒ′(x) of a quadratic function ƒ(x)? (a)…

A: Given:     f(x) be a quadratic function.

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given

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

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Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function using the definition of derivative. u + 1 g(u) : 6u – 1 g'(u) =…

A: Given g(u)=(u+1)/(6u-1) now we will find g'(u) and domain of g(u) and g'(u) as shown below

Q: 6. f(x) = Vx – 1

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Q: () Use part I of the Fundamental Theorem of Calculus to find the derivative of 17 F(x) tan F'(z)=…

A: Topic-  derivatives of definite integration

Q: Let `h (x) = -3tan^5(-7x)` Determine the derivative of 'h`. (I 'h'(x)=' Determine the slope of `h`…

A: We have to find h'(x) and h'(7)

Q: Write TRUE, if the given statement is correct, otherwise, write FALSE. 2.) In Fundamental Theorem…

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Q: show work. ) 12) Find the derivative of function f(x)= In- 1+e* ( answer: 1+e*

A: The derivative of logarithm is expressed as ddx ln x=1x. The quotient rule of differentiation states…

Q: Find the derivative of the function. (2) = earcsin{z³) f'(z) = Need Help? Read It

A: Given query is to find the derivative of the expression.

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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Q: 1. (x2 + y2)3 = a*x2

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. = (s)6…

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Q: Find the derivative of g(x) using first principles. Show your steps. f (x) = %3D 1+3

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Q: Let g(x) = x* – 8x + 2. a) What is the derivative of g(x)? b) What is g'(3)? c) Find the exact…

A: Solve by derivation

Q: Use limits to compute the derivative. f'(0), where f(x) = x ° + 3x +2 %3D f'(0) = (Simplify your…

A: The limit definition of a derivative, is given by f'(x)=limh→0f(x+h)-f(x)h

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rex h(x) =…

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Q: Find the derivative of the function in (a). Find the derivative of the function in (b) Or show…

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

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

A: gx=ex3-4x

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

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Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: Use the definition of derivatives using this formula f(x + h) – f(x) lim h 2х -3 2. Find the…

A: We are given with the function f(x) and use  derivative

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. •tan(x) 3t…

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

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Q: Use the Fundamental Theorem of Calculus to find the derivative of f(z) -dt f'(x) -

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Q: = [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

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

A: The objective is to find the derivative and equation of the line tangent to the graph of f at (a,…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) fle) = 1edt 1+t5 f…

A: Solution

Q: Using the definition, find the derivative of function 2z-i 1 (z)= at the point z = = -¡. z + 2i

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Q: A function f(x) passes through the points (15,24). (18,37). and (22 Use this to approximate the…

A: Given, a function f(x) passes through the points (15, 24), (18, 37), and (22, 25).

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

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

Q: 2. Using the definition of derivative, prove the following: (a) f)=: if f) =V

A: The detailed solution is as follows below:

Q: 1. (x² + y?)³ = a*x²

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

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula