For Problems 1–2, find the derivative of the given function. Assume that a, b, and c are constant wherever they appear. Show enough work so that it's clear that you, and not your calculator, took the derivative, and circle your final answer. 1. f(x) = (x² + 3x – - 6)10 2. f(x) = sin(e2=*+1)

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Please find the indicated derivative in following problem. 1 h) y = 3x³+11x+4

A: We have to find the derivative of the function: y=19x3+11x+4 We know the formula of derivatives,…

Q: Find the derivative of h(x)=(3x+4)3/  (−3x−2) 4 You should leave your answer in factored form. Do…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) =…

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Q: For which of the following functions would the quotient rule be considered the best method for…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

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Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: Given that the function f(x) = | x - 1|

Q: In the given question as follows, find the derivative of the function. y = e√x

A: Solution: Consider the given function is: y = ex Differentiating with respect to x we have dydx =…

Q: Given f'(x) = 2x – 6 is the derivative of f(x) = x² – 6x + ß , find a if f(x) is to be…

A: Let's find.

Q: - 17x Find the derivative of y with respect to x if y = e 口

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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 value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find an antiderivative for each of the following functions. You can check your work by taking the…

A: Given function is Antiderivative of the function means we need to find the indefinite integral of…

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Find an antiderivative for each of the following functions. You can check your work by taking the…

A: we have to find the antiderivative of the following function

Q: Given to the right is the graph of the function f(x) =(x² +2)" (dark graph) and its second…

A: Given, fx=x2+2-1 The graph of f(x) and f''(x) is shown as: The equation of a line in point-slope…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given function is Differentiating both sides , we get

Q: Find the derivative of the following function with respect to x. h (x) =√(5x + 8) 3√(1-9COS(4X))/…

A: hx=5x+81-9cos4x3x2+10x4

Q: Find the indicated derivative for the function. h"(x) for h(x) = 2x "5 – 6x -8 h"(x) =

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Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: what is the derivative of the following function; y = x 2e -3x

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Q: The given problems need the first derivative. Find the first derivative. y = 3x + 6 y = x2 –1

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Q: Find the first derivative of the following functions and simplify your answer. y=* 5x-2 y=(2x2 –…

A: Solution: The objective is to find the derivatives of the given functions

Q: 1. Suppose that the revenue (in dollars) from the sale of x units of a certain product is given by…

A: The revenue function is given by Rx = 70x-0.05x2 To evaluate: The expression of R'(x) using the…

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: 12. Find the equation of the tangent to the following functions at the indicated point. a) f(x) = x…

A: 12. We have to find the equation of the tangent to the following functions at the indicated point.…

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: 11. 1+x f(x)= 1-x

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 5. Given b(x) = (3x – 7)*, if m(x) = 36 (2 tan-1 (1 – 7x)) then m' (x) is %3D %3D

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: Given fx=x+223

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

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Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Find the derivative of the function. Simplify your answer as much as possible f(x) = e(4x*) + x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Suppose f(x)= √1 − 3x a. Use the definition of derivative to find the slope of the tangent line to…

A: Given: f(x)= √1 − 3x To find: a. Use the definition of derivative to find the slope of the tangent…

Q: 4x 4. h(x) = 7-3x

A: Given: h(x)=4x7−3x Quotient rule of differentiation says that ddxf(x)g(x)=f'(x)g(x)- g'(x)f(x)g(x)2…

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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Q: Find the derivative of the following function f(x)=10x^4-32x+e^2

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Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: 1. Suppose f(x)= 2x/x+2 (a)  Use the definition of derivative to find the slope of the tangent line…

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Q: Find an antiderivative for each of the following functions. You can check your work by taking the…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.