my question is write down the derivatives of the following
F(x) =x^7 and g(x) = cos(4x)
For these I got
f'(x)=7x^6 and g'(x) -4 cos(4x)
Is this correct.
The second part says differentiate the function using the product rule.
This bit I am confused
Use the chain rule to find the derivative of g(x)
g'(x) = 4 ( -sin (4x) )= -4sin(4x)
You have to take the derivative of 4x and then take the derivative of the function cosine. I don't see why you need to use product rule here. May be you didn't write the entire question here.