Derivative Rules - Natural Exponential Exponent Binomial (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) = 3e^{2x^{3} - 2x^{2}} \end{array}$$

Accepted Answer

$$f'(x) = 3e^{2x^{3} - 2x^{2}} \cdot \left(6x^{2} - 4x\right)$$

Answer

$$f'(x) = 3(2x^{3} - 2x^{2})e^{2x^{3} - 2x^{2} - 1}$$

Answer

$$f'(x) = 3e^{2x^{3} - 2x^{2}}$$

Answer

$$f'(x) = 3e^{2x^{3} - 2x^{2}} \cdot (2x^{3} - 2x^{2})$$