Question

Find (dy/dx) when y=10x^5 * sin^3 of x^3 * cos^4 of (3x+7) @Calculus1

Answer 1

can I drink you ?

Answer 2

What?

Answer 3

you are soda right ?

Answer 4

The 'trick' of course is to think of this function as a product of several functions.

Let
u = u(x) = 10x^5
v = v(x) = sin^3(x^3)
w = w(x) = cos^4(3x+7)

Then the original function is

y = uvw

and therefore the derivative

y' = u'vw + uv'w + uvw' --- (*)

Hence to calculate y'
1. Calculate each of the derivative u', v' and w'. You may need the chain rule for some of them
2. Then write down the expression (*) using those derivatives