Determine if the function is even, odd, or neither:  f(x)=(√(x^6))+(1/x)

Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: use the Product Rule to calculate the derivative. f (x) = x2ex

A: Use the Product Rule to calculate the derivative. f (x) = x2ex

Q: Use the limit definition to calculate the derivative of the linear function. f (x) = 7x − 9

A: Plug the given function in the limit definition of the derivative

Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

A:

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

A:

Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

A:

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

A:

Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

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

A:

Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

A:

Q: Use the Product Rule to find the derivative of the function.

A: Differentiation of the function f(x) helps to find the derivative of the function. The given…

Q: Use the Product Rule to find the derivative of the function. f(x) = x2(2x3 – 1) f'(x) =

A: This is a problem of the derivative of the function. Product rule formula is, UV = U*V' + V*U'…

Q: Let f(x) = 4x² +. Use the definition of the derivative to find f'(1) %3D

A: To find- f'(1)

Q: Use the product rule to calculate the derivative  f(x)=x^3(2x^2+1)

A:

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

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

A:

Q: Find the derivative using the formal definition f (x) = 3x2- 4x – 2

A:

Q: Calculate the derivative. f(x) = (9x 5/2 - 2) / x

A: Given,          fx=9x52-2x

Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

A:

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

A:

Q: Let f(x) = 4x² +. Use the definition of the derivative to find f'(1). %3D

A: To find the derivative of f(x) at x=1 using the derivative definition.

Q: Find the derivative and simplify. f(x) = (x12 + 4x4 + 5)(2x3 - 1) f'(x) = %3D

A: Given : fx = x12 + 4x4 + 52x3 - 1

Q: Let f(x) = 4x² + . Use the definition of the derivative to find f'(1). %3D

A: We can make it easier for you

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Find the derivative and simplify. f(x) = (x12 + 3x* + 5)(2x³ - 1) f'(x) = %3D

A: Some differentiation formulae: ddx(xn)=nxn-1ddx(c)=0  ; c is any consant value Given function is…

Q: f(x) = x³ + 7x² – 8

A:

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: Calculate the derivative. f(x) = (x³ + 2) (x³ + x + 9)

A:

Q: Use the Product Rule to calculate the derivative. f(x) = x³ (7x² + 1) %3D

A:

Q: Find f' (8) from f(x) = V7x – 2 using the definition of a derivative. (Do not include "f'(8) =" in…

A: This question is related to deivative.

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

A:

Q: Use the definition of a derivative to find f ′ (x). f (x) = 2 − 3x

A:

Q: Find derivative of f(x) = x^4-7x^2+8

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

A:

Q: differentiate the function: f(x) = 6x ln(5x) -6x f'(x)=

A: Use sum rule for differentiation.

Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

A:

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: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

A:

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

A:

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…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.