Derivative Rules - Natural Exponential Exponent with Power (with Rule) to Derivative

Question

Find the derivative f'(x) using the natural exponential rule and the chain rule.

$$\begin{array}{l} \displaystyle \frac{d}{dx}e^{u} = e^{u} \cdot \frac{du}{dx} \[12pt] \displaystyle f(x) = 4e^{x^{4}} \end{array}$$

Accepted Answer

$$f'(x) = 4e^{x^{4}} \cdot 4x^{3}$$

Answer

$$f'(x) = 4e^{x^{4}}$$

Answer

$$f'(x) = 4e^{x^{4}} \cdot (x^{4})$$

Answer

$$f'(x) = 4(x^{4})e^{x^{4} - 1}$$