Question

find the derivative of 5sinx

Answer 1

Ok, what do you need to do?

Answer 2

find the derivative of 5sinx

Answer 3

You know the derivative of sinx, right?

Answer 4

ya its cosx

Answer 5

i am confused since there is constant 5 in front?

Answer 6

Yeah, so \(\dfrac{\mathrm d}{\mathrm d x}cf(x) = c\dfrac{\mathrm d}{\mathrm d x}f(x) = cf'(x)\)

So \(\dfrac{\mathrm d}{\mathrm d x}5\sin x = 5\dfrac{\mathrm d}{\mathrm d x}\sin x = \boxed{5\cos x}\)

Answer 7

Does that make sense?

Answer 8

Thank you.

Answer 9

Ok, no problem