How do you find the derivative of #cos^2(x^2-2)#?
First of all define:
First use the chain rule to find the derivative of f(x):
In other words:
Now the product rule can be used to find the derivative of f(x)^2:
Using the trigonometric identity:
We finally gain:
SIn(x) is an odd function, so it's true that:
sin(x) = -sin(-x)
Which means we can also write the answer as:
Which removes the minus sign from the front, making the expression tidier.