Tutorial Exercise

Find the derivative of the function.

$h(t)=(\frac{t^4}{t^7+8}{)}^2$

Step $1$

Apply the general power rule which states that if $y=[u(x{)}^n],$ where $u$ is a differentiable function of $x$ and $n$ is a rational number, then

$\frac{dy}{dx}=\frac{2t^4}{t^7+8}{\displaystyle \underset{x}{\overset{\phantom{}}{}}}([u(x)])\frac{du}{dx}$

$$ SKIP $($YOU CANNOT COME BACK$)$