find the inverse of the function. (Enter the domain using interval notation) f(x)=(x+5)^2, xis greater than or equal to -5 f^-1(x)=         , on domain=

Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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Q: Use the Product Rule to find the derivative of the function. f(x) = (9 - x) "(x) =

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Q: please take the first and second derivative of this function:    cube root of x^2 - (1/cube root of…

A: First express the expression with exponents of x.

Q: Can you help me find the derivative of f(x)=x8(x4- 6/x4) (this needs to be solved without using the…

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Q: Find the derivative of: −6√x −3/x^4  Type your answer without fractional or negative exponents.

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Q: Find the third derivative of the function f(x) = (x3 - 8)4 please provide detailed steps and the…

A: Given that: f(x)=(x3-8)4

Q: = x3-122 +2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: 2 - x f(x) = 3 x + 1

A: given that f(x)=2-x3x+1we need to find the derivative of the functionuse the quotient rule that is…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. x2 + x – 8 f(x) x2…

A: Our Aim is to find the derivative of the function given below:-f(x)=x2+x-8x2-8-(i)

Q: If the function f has a differentiable inverse function, the derivative of the inverse function f −…

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Q: Give 5 examples of derivative of inverse hyperbolic function with solution

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Q: The slope of the graph of the inverse tangent function is positive for all x. True or false?

A: Given: The slope of the graph of the inverse tangent function is positive for all x.

Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

A: he derivative to determine whether the function is strictly monotonic on its entire domain and…

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

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Q: 3x³ -x-5 y = 2x² + 4x-1

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Q: Find the derivative of f(x) = (1 + 7x2)(x − x2) in two ways. 1. Product Rule 2.Perform the…

A: For product rule we use u=1+7x^2 and v=x-x^2Product rule = u'v+uv'Answer: f'(x)=1-2x+21x^2-28x^3

Q: Find the derivative of the function f(x) = 10x + 12x - 6 at number 3. (Use symbolic notation and…

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0<x<2, at the point (-3,1)…

A: To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1), where (-3,1)…

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

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Q: Explain why the derivative of a 2x – 3 is two, i.e. if f(x) = 2x – 3, then f’(x) = 2. Use proper…

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Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: f(x) =  3 − 3x − x2 x2 − 5  f '(x) =

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Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: Find second derivative f(x) = 1/X2-9

A: Given that fx = 1x2-9To find :second dedivative of fx

Q: Find the derivative of each of the following functions, first by using the product rule, then by…

A: NOTE: WE ARE ONLY ALLOWED TO SOLVE FIRST THREE PARTS. FOR REST ANSWERS, PLEASE POST THE QUESTION…

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Find the derivative of f( x ) = x^9log5(x+5.5) f'(x)=

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Q: Joha Find the derivative of the 1 1- f(x)= 2x+3

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Q: What is the inverse process of determining a function whose derivative is known?

A: The inverse process of determining a function whose derivative is known is called

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Find an equation of the line tangent to the graph of f(x) = 4 - 6x2 at (4, - 92). The equation of…

A: Here need to find tangent to the graph

Q: Find f"(x) f(x)= J3x-7

A: Given that, The function f(x) is, f(x) = 3x-7 We have to find the second derivative of the given…

Q: find derivative  f(x)= x3/square root of 1+x2

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Q: find  the derivative of f(x)=4x3ex

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Q: Find the derivative of f(x)=-9sqrtx+1/x^10. Type your answer without fractional or negative…

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Q: 13x

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