How do you differentiate f(x)= (4x^5+5)^(1/2)f(x)=(4x5+5)12 using the chain rule?
2 Answers
May 22, 2018
Explanation:
let
Substitute
Simplify
May 22, 2018
Explanation:
"given "f(x)=g(h(x))" then"
f'(x)=g'(h(x))xxh'(x)larrcolor(blue)"chain rule"
rArrf'(x)=1/2(4x^5+5)^(-1/2)xxd/dx(4x^5+5)
"color(white)(rArrf'(x))=1/cancel(2)(4x^5+5)^(-1/2)xxcancel(20)^(10)x^4
color(white)(rArrf'(x))=(10x^4)/(4x^5+5)^(1/2)