For the following functions, find(f * g)(2) . (Enter an exact number.) f(x)=x^2-3 g(x)=4x-5

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

A:

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: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

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

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: Find the derivative. f(x) = 8/ 4x + 7 f'(x) = |

A: Find derivative use Chan rule  And use d/dx(x½)=1/2(x)½

Q: Find the indicated derivative using the definition f(x) = 2x4+3x3-2x+7: f'(0)

A: Differentiation is the rate of change in the value of the dependent variable with respect to the…

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

A:

Q: Find derivative of f(x) = 5x+(7/x)

A: The function is fx=5x+7x.   Differentiate the function with respect to x.…

Q: Use the General Power Rule to find the derivative of the function. g(x) = (9 − 5x)4 g'(x) =

A: Given,

Q: Use the definition of the derivative to solve.

A: Given,

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

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

A:

Q: find the derivative of the function f(x) = 7(x^3-x)^4

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Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Use the formal definition to find the derivative of f(x) = 4 at x = 8. x+3

A: To find the derivative of the function  f(x)=4x+3 at x=8

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

A:

Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Differentiate the following functions using Four-step Rule 1. f (x) = 4x – 5

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Use the definition of the derivative to find f(x) if f(x)= x/(5x+2).

A:

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 5x2 + 9x + 2 f'(x) = f"(x)

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Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

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Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: Calculate the following derivative if f(x) = 5e* - x³. %3D (Use symbolic notation and fractions…

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Q: Use the four-step definition of the derivative to find f'(x)if f(x)=2x+11. f(x+h)= f(x+h)-f(x)=…

A: Given function is f(x)=2x+11

Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

A:

Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power…

Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

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Q: Find the indicated derivative. f'(x) for f(x) = x + 4)(x – 5) x² + 9 f'(x)

A: Consider the given function, fx=x+4x-5x2+9 First, simplify the denominator as follows,…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

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 derivative. f (x) 7.) f(x)==x³+2x²–11 x–1 +2x²-11 x-1 6.

A: We have given

Q: Suppose f(x) = x^2−3x−5. Using the definition of derivative, compute f'(3).

A: Consider the given function: Here the objective is to find the derivative of the given function…

Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

A:

Q: Use the definition of a derivative to find f(x). 7 (x) (x) =

A: we have given f(x).  We have to find the derivative of f'(x) by definition of derivative

Q: Use the limit definition of the derivative to find f'(x) given f(x) = x² – 3x + 5.

A: Given function :

Q: Use the limit definition to find the derivative of the function. f(x) = x² + 5x – 5 - f(x + h) – f…

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Q: Use the general power rule to find the derivative of the function. f(x) = (8x-x2)3 f'(x) =…

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Q: Find the indicated derivative. (x + 5)(x - 6) f'(x) for f(x) = x- + 6 f'(x) 3=

A: Given:fx=x+5x-6x2+6=x2-x-30x2+6

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: Find the derivative of the function. f(x) = 10/((x ^ 2 - 4) ^ 4)

A: