Find ƒ if ƒ"(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. -0 ƒ(x) =

Q: If y = √√√2-3x², find encl sack the third derivative.

A:

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

A:

Q: f (x) = 2x + 2/2 cos (x) For what values of x does the graph of f have a horizontal tangent?

A:

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

A: Answer

Q: √x √x + √√y = 1

A:

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

A:

Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

A:

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: f(x.y) = xtan(). =tan( ес

A:

Q: 3. f(x)=3 sin²x-4cos 9x

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

Q: (væ) + log, (5x² – 3) + ex² Find the derivative of y = arc tan

A: Explanation of the solution is given below...