Question

find dy/dx y=(sinxcosx)secx

Answer 1

what property/rule?

Answer 2

rewrite as \(\sin(x)\) and it should be easy

Answer 3

product?

Answer 4

The product rule extends to D(f(x)g(x)h(x))= f'gh+fg'h+fgh'

Answer 5

\[\sec(x)=\frac{1}{\cos(x)}\] so you are looking at \(y=\sin(x)\)

Answer 6

sec(x) = 1/cos(x), so sin(x)cos(x)*[1/cos(x)) = sin(x)
Now, just find d/dx sin(x) = cos(x)

Answer 7

Thank you!

Answer 8

y'=sec2x