if S* (x) dx=4 and f(x) dx = - If 0 [°ƒ(x) dx = − 1, evaluate [*ƒ(x) dx . 3 2 4 O 3 O 5

Q: 2- |In (=) dx.

A: ∫01ln 1x     dx

Q: 7. Find 3 So 1 X x5/2 + x3/2 -dx

A:

Q: d -[x*] = xx"-1 dx

A:

Q: Differentiate. y= In [(x +2)° (x + 5 (x+ 7)°] [In [x+ 2)° (x +5)*(x + 7) ]] =O dx

A:

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: x²+16x Let f(x) : = *+16x Find the value of x such that the tangent line to y = f(x) is horizontal.…

A: We know slope is given by derivative of f(x) w.r.t. x And tangent line is horizontal When slope is…

Q: 1)State the expression for the central difference representation of O(2) for nth derivative of a…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

A:

Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

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

A:

Q: 2. Find x Inx dx

A: 2) The given integral is ∫x lnxdx

Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Differentiate. dy dx y = 4x3 – 8x2 + 5x + 3 ||

A:

Q: Define what it means by for y f(x) dx

A:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

A:

Q: If | f(x)dx=12, what is the value of f(6- x)dx?

A: Let f(x) be continuous on [a, b] , where a=0 , b=6 Suppose there is a function F(x) such that f(x)…

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

A:

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a