Question

How to differentiate f(x)=sinh^3xcosh^2x?

Answer 1

Use product rule and chain rule,
\[(\sinh^3x)'\cosh^2x+\sinh^3x(\cosh^2x)'=\\
=3\sinh^2x\cosh x\cosh^2 x+\sinh^3 x2\cosh x\sinh x=\\
=3\sinh^2x\cosh^3 x+2\sinh^4\cosh x\]

Answer 2

thank you!