Question

\[Derivation.of ==> e ^{5x ^{4}}\]

Answer 1

\[= e^{5x^4} \times \frac{d}{dx}(5x^4)\]

Try to solve this..

Answer 2

\[\frac{d}{dx} (5x^4) = 4 \times 5x^3\]

Answer 3

use the chain rule
let u = 5x^4
y = e^u ----> dy/du = e^u = e^(5x^4)
du /dx = 20x^3

dy/dx = e^(5x^4) * 20x^3

Answer 4

Remember:

\[\huge \color{green}{\frac{d}{dx} (e^{f(x)}) = e^{f(x)} \times \frac{d}{dx}(f(x))}\]