Thread: Differentiation

Find dy/dx in terms of x if x = t^sqrt(t) , y = e^t

also, dy/dx in terms of theta if x = sin^3 4(theta) , y = cos^3 4(theta)

Thanks!

Originally Posted by ose90

Find dy/dx in terms of x if x = t^sqrt(t) , y = e^t

Find:

Using chain rule and product rule.

And Using standard differentiation e.g. .

Then:

Originally Posted by ose90

also, dy/dx in terms of theta if x = sin^3 4(theta) , y = cos^3 4(theta)

Thanks!

Find:

Using chain rule.

And Using chain rule.

Then: