Given f(x) = x + sinx, determine all values of x in [0, 2π) where f(x) has a horizontal tangent. x =

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: 1. (x*+2x)°(6x²+4)dx 2. [3x²+2x+1 dx 3. (x?)/(x³-4) dx 4. (x+1)/(\x²+2x+1) dx

A: As per the guidelines we can solve 3 problems only.

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: Find a0 of the function f(x) = sin(x/2

A: Given function is:  fx=sinx2

Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: Find the derivative y = x + Vx + Vã 01+ + Ol+ + 1 1 + 쑤 None of these 3.

A:

Q: If f(x) = sin(x), determine f (125)(π).

A: