Question

if f(x)=xcosh(x)+xsinh(x), then f'(x)=

Answer 1

use product rule

Answer 2

f(x)=xcosh(x)+xsinh(x) = x(cosh(x) + sinh(x))
f'(x) = x(cosh(x) + sinh(x))' + cosh(x) + sinh(x)
= x(cosh(x) + sinh(x)) + cosh(x) + sinh(x)
= (x+1)(cosh(x) + sinh(x))

Answer 3

thank you very much