Find the derivative of the function. y = a7 + cos7 x.

The derivative of the function.

y = x^7 + cos7 x.

dy/dx = 7x^6 - 7sin 7x

Enjoy!

Yas, I'm learning this

remember

f' (a+b) = f' (a) + f' (b)

and

f' (cos (x)) = - sin (x)

and

f' (g (x)) = f' (g (x)) g' (x)

and

f' (xⁿ) = nxⁿ⁻¹

f' (a⁷+cos (7x)) =

f' (a⁷) + f' (cos (7x)) =

7a⁶+f' (cos (7x)) f' (7x) =

7a⁶-sin (7x) (7f' (x)) =

7a⁶-sin (7x) (7*1) =

7a⁶-sin (7x) (7) =

7a⁶-7sin (7x)

f' (a⁷+cos (7x)) = 7a⁶-7sin (7x)