The left hand derivative of `f(x)=[x]sin(pix)` at `x = k`, `k in Z`, is

Compute the derivative of f(x)=sin^2x .

The derivative of f(x) = "sin" 2x is

Compute the derivative of f(x)=sin^2x .

Find the Derivative f(x)=cos(sin x)

Find the derivative of f(x)=k at x=0 and x=2.

Left hand derivative and right hand derivative of a function f(x) at a point x=a are defined as f'(a^-)=lim_(hrarr0^(+))(f(a)-f(a-h))/(h) =lim_(hrarr0^(+))(f(a+h)-f(a))/(h) andf'(a^(+))=lim_(hrarr0^(+))(f(a+h)-f(a))/(h) =lim_(hrarr0^(+))(f(a)-f(a+h))/(h) =lim_(hrarr0^(+)) (f(a)-f(x))/(a-x) respectively. Let f be a twice differentiable function. We also know that derivative of a even function is odd function and derivative of an odd function is even function. If f is even function, which of the following is right hand derivative of f' at x=a?

Find the derivative of f(x) = tan x + "sin" x + x^(5)

Find the derivative of "f"("x")="k a t x"=0" and x"=5.

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .