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Popular >

derivative of e^{{g}(x(x^3)-2})

Solution

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

Solution

e^{g (x) x^{3} - 2} (x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x))

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (g (x) x^{3} - 2) = x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x)

= e^{g (x) x^{3} - 2} (x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x))

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y^{''}+4y^'+6y=0,y(0)=-4,y^'(0)=-1

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\int csc^{2} (x) + 7 d x

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Frequently Asked Questions (FAQ)

What is the derivative of e^{{g}(x(x^3)-2}) ?
The derivative of e^{{g}(x(x^3)-2}) is e^{{g}(x)x^3-2}(x^3 derivative of {g}(x)+3x^2{g}(x))
What is the first derivative of e^{{g}(x(x^3)-2}) ?
The first derivative of e^{{g}(x(x^3)-2}) is e^{{g}(x)x^3-2}(x^3 derivative of {g}(x)+3x^2{g}(x))