4. f(x) = 5. f(x) = 6. f(x) = 2x+sin x x sin x 2x²+x x sinx+2 sinx 2x²

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: What is the derivative of f(x) = (sin(x²) + x³)¹ at x = 0 Answer:

A: INTRODUCTION In calculus, differentiation is a fundamental concept that involves finding the rate of…

Q: Check whether the function f(x) = cotx and f(x) = sin2x is well-conditioned or ill- conditioned at x…

A: A function is said to be well-conditioned at a point if small changes in the input result in small…

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: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: 11. Determine the derivative of f(x) = sin (4x²)

A: chain rule of differentiation;

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: f(5)(x)

A: