How do you find the derivative of #y=6 cos(x^3+3)# ?

Question

How do you find the derivative of #y=6 cos(x^3+3)# ?

1 Answer

Impact of this question

17058 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-07-24T22:34:34

This is a composite of the function #x^3+3# and the function #6cos x#, so we will need the Chain Rule together with #(x^3+3)=3x^2# and #(cos x)'=-sin x# (as shown here:derivative of trig functions ).

Thus
#(6cos(x^3+3))'=-6sin(x^3+3)\times (x^3+3)'=-18x^2 sin(x^3+3)#.

Science

Math

Humanities

... and beyond

How do you find the derivative of #y=6 cos(x^3+3)# ?

1 Answer

Related questions

Impact of this question