y=ln((x^2 sinx)/sqrt(1+x))
calculate the derivative in 3 different ways
any help for this exercise?

Question

y=ln((x^2 sinx)/sqrt(1+x)) 
calculate the derivative in 3 different ways
any help for this exercise?

kc_kennylau · Answer

$$\Large y=\ln\left(\frac{x^2\sin x}{\sqrt{1+x}}\right)$$

kc_kennylau · Answer

Don't tell me you're going to use the first principle

kc_kennylau · Answer

I don't think I can give you 3 different methods, but I think I can give you one method

kc_kennylau · Answer

Chain rule+quotient rule+product rule+chain rule

anonymous · Answer

this is the only way to sovle this exercise?

kc_kennylau · Answer

I'm not sure because one Mathematics question can have many approaches but only one solution

kc_kennylau · Answer

This is perhaps the beauty of Mathematics

kc_kennylau · Answer

The first principle may be feasible

anonymous · Answer

1) u substitution
2) begin with a chain rule and go from there

kc_kennylau · Answer

But the arithmetic would be tedious

anonymous · Answer