How do you differentiate sin3x?
Differentiation, also known as finding the derivative is the process of finding the instantaneous rate of change of a function.
Answer: The value when we differentiate sin3x is 3 sin2x cosx.
Let's understand the steps to solve the given question.
According to the rules of differentiation,
d/dx(xn) = nxn-1
d/dx(sin3x) = 3 sin2x d/dx(sin x) ----------------- (1)
We know that,
d/dx (sin x) = cos x
Substituting in (1) we get,
d/dx(sin3x) = 3 sin2x cos x
Thus, the value when we differentiate sin3x is 3 sin2x cosx.