What is the derivative of e^{4x^3-18x^2} ?

The derivative of e^{4x^3-18x^2} is e^{4x^3-18x^2}(12x^2-36x)

What is the first derivative of e^{4x^3-18x^2} ?

The first derivative of e^{4x^3-18x^2} is e^{4x^3-18x^2}(12x^2-36x)

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derivative of

e^{4 x^{3} - 18 x^{2}}

e^{4 x^{3} - 18 x^{2}} (12 x^{2} - 36 x)

Solution steps

\frac{d}{d x} (e^{4 x^{3} - 18 x^{2}})

Apply the chain rule:

e^{4 x^{3} - 18 x^{2}} \frac{d}{d x} (4 x^{3} - 18 x^{2})

= e^{4 x^{3} - 18 x^{2}} \frac{d}{d x} (4 x^{3} - 18 x^{2})

\frac{d}{d x} (4 x^{3} - 18 x^{2}) = 12 x^{2} - 36 x

= e^{4 x^{3} - 18 x^{2}} (12 x^{2} - 36 x)

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What is the derivative of e^{4x^3-18x^2} ?
The derivative of e^{4x^3-18x^2} is e^{4x^3-18x^2}(12x^2-36x)
What is the first derivative of e^{4x^3-18x^2} ?
The first derivative of e^{4x^3-18x^2} is e^{4x^3-18x^2}(12x^2-36x)