How do you differentiate f(x)= e^(2x)* (x^2 - 4) *ln xf(x)=e2x⋅(x2−4)⋅lnx using the product rule?
1 Answer
Jan 5, 2017
Explanation:
#To differentiate the product of 3 functions
(abc)'=a'bc+b'ac+c'ab
rArra=e^(2x)rArra'=e^(2x).d/dx(2x)=2e^(2x)
b=x^2-4rArrb'=2x
"and " c=lnxrArrc'=1/x
rArrf'(x)=2e^(2x)(lnx(x^2-4))+2x(e^(2x)lnx)+1/x(e^(2x)(x^2-4))