3x f"(x) = -- (x2 + 1)2

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: Calculate f""(−1) for f (x) = 3x5 − 2x2 + 7x−2.

A:

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: S(x)= 2-1 x* +X Simplify

A:

Q: Find F"( F(X) = (x ² + 9

A:

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: dx G-x³)}

A: The integration of the integral is x2/(1-x2)3/2.

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: lim (Vx2 + x (v. – x

A:

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

Q: ID 2 = {(Xy) 2x=7

A:

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: I need to find f"(x) when f(x)= (x2+10)6

A:

Q: x) = (1/3)x - 6

A:

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: Find f( - 2) if f(x) = 4x? – - x.

A: To find value of function at any point we have to put the given value of variable into the function.

Q: 0 8x3-12x2+7x+2 Evaluate , dx =? -1 2х-2

A:

Q: y=1+cosx

A: (a) y=1+cosx h=2 and interval -2,2 according to trapezoidal rule…

Q: Find y (x +5x)*(x + sec x)5

A: Differentation by two products

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: If f(x) = x² + 8x, find f(d). %3D f(d) = ||

A: F(x) represents  function varies with x

Q: Find f"(x) for the equation f(x)=x6(x2-1)3

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.