Let f(x) = 13 – x - f(x) = -

Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

Q: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

A: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: Find f'(x). f(x) = 3x In x

A:

Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

A:

Q: Differentiate f(x) =- from the first principles. x2+3

A:

Q: The domain D, of the function f (x) = Vx² – 1 is: -

A: The domain of a function is set of values for which the function is defined. The square root is…

Q: Differentiate f(x) = a4x4 -3ax² with respect to x. Assume that a is a constant. f'(x) =

A: f(x)=ax4-3ax2 differentiate with respect to x

Q: Let f(x)= 3x^2+x-5. Using the definition of the derivative, find f’(x).

A:

Q: Let f(x) = 3". As x → 0, what does f(x) → ?

A:

Q: 2 Let f(x) = 4x° / + f'(x) : ||

A:

Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: Find f-1(x) for the function. х f(x) %3D x + 1 f-1(x) =

A:

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

A:

Q: Find the function f(x) that satisfies the conditions f1) - | and f'x)= 2x+1

A: Given that: f(x) satisfies f(1)=1and f'(x)=2x+1(x2+x+1)3 We have to find the function f(x)

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: if fcx) = _X then f (-1) is: |-X

A:

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

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: Find the interval in which the function f(x) =xex is decreasing.

A:

Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

A:

Q: find the derivative f(x)=(2x3-3)2/3

A: Consider the given function

Q: determine the f(0) if f'(x) = 2cosx + 8x^3 + e^x

A:

Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

A:

Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A:

Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: Let flx)=-x²-x+6 and g(x)=2x+5 , find f(g\x))

A:

Q: Let f(x) = Find f'(x). (x + sec(x³ + 4))*

A:

Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A:

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: differentiate find f'(t) for f(x)=(2x-2)(3x^3-x^2+1)

A:

Q: Find the internal where the function is increasing and decreasing for  g(x)= x-x^3

A:

Q: If f(x) = x+2/ 1-x then  f'(x) = ?

A:

Q: What is the end behavior of f(x)?

A:

Q: Find f'(x) for f(x) = – 3x*. f'(x) =

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

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

A: We have given

Q: Let f(x) = 6x +3 f-(z) =

A:

Q: find the derivative  f(x)=x2(x3-1)

A: Apply the product rule and obtain the derivative of the given function.

Q: Find f-1(x) for f(x)=3/x2, x > 0 f-1(x)=

A: Replace f(x) by y.

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

A:

Q: Let f(x)=(5)x+1. Which is equal to f(−3)?

A:

Q: Let f(x) :2x + 14 f-'(x) = Prev

A: To find f-1(x) Step 1-  put f(x) equals to y Step 2 - Replace y with x and x with y Step 3-…

Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.