Find the derivative of ((t^4-6) ^3) * ((t^3+6) ^4)

Question

Sage Garrett

Mathematics

29 August, 13:03

Find the derivative of ((t^4-6) ^3) * ((t^3+6) ^4)

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Wayne Doyle · Answer 1

=d/dx ((t^4-6) ^3) * (t^3+6) ^4 + d/dx ((t^3+6) ^4) * (t^4-6) ^3

=3 * (t^4-6) ^2 * (t^3+6) ^4 * d/dx (t^4-6) + 4 * (t^3+6) ^3 * (t^4-6) ^3 * d/dx (t^3+6)

=3 * (t^4-6) ^2 * (t^3+6) ^4 * 4t^3 + 4 * (t^3+6) ^3 * (t^4-6) ^3 * 3t^2

Simplify that if youd like