Differentiate the function. y = 8e^x + 4/ 3sqrt x

take derivative on both sides with respect to x,

$\frac{dy}{dx}$ = $8\frac{de^x}{dx}$ + $e^x \frac{d8}{dx}$ + $4\frac{x^{-\frac 13}}{dx}$

= $8e^x$ + 0 - $\frac 43{x^{\frac {-4}{3}}}$

= $8e^x$ - $\frac{4}{3x^{\frac 43}}$

• Derivative $e^x$ is $e^x$.
• Derivative of constant is 0.
• Derivative of $x^n$ is $nx^{n-1}$