# Calculus

posted by .

Am I right so far?

G(x)=e^x sqrt(1+x^2)
=e^x(1+x^2)^1/2
=e^x(1/2)(1+x^2)^-1/2(2x) + e^x(1+x^2)^1/2

So I used product rule, chain rule, and exponential function with base e

• Calculus -

It's good so far.
You can simplify a little by cancelling the 2's in the numberator and denominator of the first term.

## Similar Questions

1. ### Product Rule

Can someone please help me with this? f(x)=(x-2)^1/2 * (x^2-3)^3 find f'(x) using the product rul. This is what I came up with I just need to know if I did it right. f'(x)=(x-2)^1/2*3(x^2-3)+(x^2-3)^3*(1)^-1/2 Hopefully I did. Thanks.
2. ### Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation?
3. ### Math, Calculus

Find the derivative of the function. y= xcosx - sinx What's the derivative?
4. ### Calculus

How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
5. ### calculus

how do not understand how to find a deriviative of this function?
6. ### Calc I

How do I find the derivative for the sqrt(sin(e^(x^3)*cos(x)))?