Home > Calculus > Derivative Rules for y=cos(x) and y=tan(x)

How do you find the derivative of #cos(pi x)#?

Answer 1

Emilia Aguilar

#(dy)/(dx)=-pisin(pix)#

Let,

#y=cos(pix)#

Using Chain Rule :

#:.(dy)/(dx)=-sin(pix)d/(dx)(pix)#

#:.(dy)/(dx)=-sin(pix)(pi)#

#:.(dy)/(dx)=-pisin(pix)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Charles Arocha

To find the derivative of ( \cos(\pi x) ), you can use the chain rule of differentiation. The chain rule states that if you have a function inside another function, the derivative is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

The derivative of ( \cos(\pi x) ) with respect to ( x ) is:

[ \frac{d}{dx}(\cos(\pi x)) = -\pi \sin(\pi x) ]

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.