Find the slope of the secant line between x = 3 and x 5 on the graph of the function f(x) = -2x2 + 2x + 5.

Q: Find the derivative of the function.

A: Given: f(x)=x2+5-3x-2 To find its derivative.

Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

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

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Find the derivative of the function f(x)=(2x-7)/(3x-2)

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: Graph f(x) = x +2x -5 and the tangent line to the graph at the point whose x-coordinate is -2.

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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Q: Use the chain rule to find the derivative of f(x) = 4/2x° + 7x7

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Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

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Q: Use the implicit differentiation of the equation to determine the slope of the graph at the given…

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Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: Find the equation of the line that is tangent to the graph of f(x)=(3x+1)/(4x-3) at the point where…

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Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: x'-3x+5 3) y= x² +1

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Q: Find f'(x) using the rules for finding derivatives 5x2 - 9x +2 f(x) = 7x + 1 f'(x) =|

A: The given function is  f(x) = (5x2 - 9x + 2)/(7x + 1)

Q: Use the Chain Rule to find the derivative of the function. y = (3x2 - 7)3

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Q: Calculate the derivative of the function  f(x) = 4x^5 + 2x -  π^6  + 7

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Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Calculate the derivative   f(x)=√(4+3x^2) / √(x^2+1)

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Q: Find the derivative of the function. 4 2x - x2 f(x) = %3D x2 - 6 f'(x) =

A: given,        fx=-x2-2x+4x2-6

Q: Find the derivative of the function. f(x)=6x3 − 7x2 + 2/x3 − 3

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Q: The derivative of f(x) = 5lnx is

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: Find the derivative of the function y = 4x3- x2+6x-5

A: Find the derivative of the function      y = 4x3- x2+6x-5

Q: Use the chain rule to find the derivative of f(x) = 2e-72° + 32® f' (x) =

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Q: Find the derivative of the function. f(x) = 9x2 (x − 6)

A: We have to find the derivative of the function

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: find the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

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Q: Find the derivative of the function. y=3x2-11x-5/x5

A: We have to find

Q: Consider the function f(x) = 2x interval - 2, 2|. Find the average or mean slope of the function on…

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Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: Find the derivative of the function y=5x3+3−2x3+3√x5.

A: To Find: Derivative of function   y=5x3+3-2x3+3x5.

Q: Use the chain rule to find the derivative of f(x)=10√10x^10+2x^9

A: Consider the given function: fx=1010x10+2x9 Chain rule says that: ddxfgx=ddgxfgx+dgxdx We have,…

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Find the derivative of the function. g(x) = ((7x^2-4)/(4x+7)^-2

A: We have to find the derivative

Q: Find the slope of the secant line between x=-4 and x=7 for f(x)=7x+9

A: The secant line between x=-4 and x=7 for f(x)=7x+9.

Q: Find the derivative of the function. f(x) = x3 − 2x + 3x−3

A: Consider the following function: fx=x3-2x+3x-3=x3+x-3 Differentiate fx with respect to x:…

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

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