Calculating derivatives Find the derivative of the following functions. y = cos^2 x

vestirme4 2020-11-11 Answered
Calculating derivatives Find the derivative of the following functions.
y=cos2x
You can still ask an expert for help

Want to know more about Derivatives?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Neelam Wainwright
Answered 2020-11-12 Author has 102 answers
Step 1
We have to find derivatives:
y=cos2x
We know the derivatives formula,
dxndx=nxn1
d(f(x))2dx=2(f(x))21df(x)dx
=2f(x)f(x)
dcosxdx=sinx
Here
f(x)=cosx
Step 2
Differentiating given function with respect to 'x', we get
y=cos2x
dydx=dcos2xdx
=2(cosx)21dcosxdx
=2cosx(sinx)
=2sinxcosx
=2sin2x
Hence, derivatives of given function is sin2x.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more