What is the derivative of e^{12x-x^6} ?

The derivative of e^{12x-x^6} is e^{12x-x^6}(12-6x^5)

What is the first derivative of e^{12x-x^6} ?

The first derivative of e^{12x-x^6} is e^{12x-x^6}(12-6x^5)

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\frac{d}{d x} (e^{12 x - x^{6}})

e^{12 x - x^{6}} (12 - 6 x^{5})

Solution steps

\frac{d}{d x} (e^{12 x - x^{6}})

Apply the chain rule:

e^{12 x - x^{6}} \frac{d}{d x} (12 x - x^{6})

= e^{12 x - x^{6}} \frac{d}{d x} (12 x - x^{6})

\frac{d}{d x} (12 x - x^{6}) = 12 - 6 x^{5}

= e^{12 x - x^{6}} (12 - 6 x^{5})

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What is the derivative of e^{12x-x^6} ?
The derivative of e^{12x-x^6} is e^{12x-x^6}(12-6x^5)
What is the first derivative of e^{12x-x^6} ?
The first derivative of e^{12x-x^6} is e^{12x-x^6}(12-6x^5)