Im stuck on this problem:
Differentiate the following function.
Heres what i did:
used sum rule, found the derivatives of the above terms.
for the 1st one i got square root of 7
the 2nd i got .75u^-.5
so sqrt[7]+.75u^-.5
thanks.
Im stuck on this problem:
Differentiate the following function.
Heres what i did:
used sum rule, found the derivatives of the above terms.
for the 1st one i got square root of 7
the 2nd i got .75u^-.5
so sqrt[7]+.75u^-.5
thanks.
You need to use the chain rule since the function $\displaystyle \sqrt{3u}$ is a composite function. The derivative should be $\displaystyle \frac{1}{3}(3u)^{\frac{-2}{3}}(3)=(3u)^{\frac{-2}{3}}$
So the derivative of $\displaystyle g(u)$ is just $\displaystyle g'(u)=\sqrt{7}+(3u)^{\frac{-2}{3}}$. You can simplify the second term to the cubed root of the square of $\displaystyle 3u$.