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Popular >

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

Solution

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

Solution

e^{8 x^{3} - 2} \cdot 24 x^{2}

Solution steps

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

Simplify

e^{(2 x)^{3} - 2} : e^{8 x^{3} - 2}

= \frac{d}{d x} (e^{8 x^{3} - 2})

Apply the chain rule:

e^{8 x^{3} - 2} \frac{d}{d x} (8 x^{3} - 2)

= e^{8 x^{3} - 2} \frac{d}{d x} (8 x^{3} - 2)

\frac{d}{d x} (8 x^{3} - 2) = 24 x^{2}

= e^{8 x^{3} - 2} \cdot 24 x^{2}

Popular Examples

y^'=((4t^3+1))/(2y-6)

y^{^{'}} = \frac{( 4 t ^{3} + 1 )}{2 y - 6}

integral of tan^3(x)sec^2(x)

\int tan^{3} (x) sec^{2} (x) d x

area y=15-x^2,y=x^2-3 area

y = 15 - x^{2}, y = x^{2} - 3

integral from 1 to 5 of 1/(1+2x)

\int_{1}^{5} \frac{1}{1 + 2 x} d x

(\partial)/(\partial x)((x^2y)/(x^4+y^2))

\frac{\partial}{\partial x} (\frac{x ^{2} y}{x ^{4} + y ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of e^{(2x^3-2}) ?
The derivative of e^{(2x^3-2}) is e^{8x^3-2}*24x^2
What is the first derivative of e^{(2x^3-2}) ?
The first derivative of e^{(2x^3-2}) is e^{8x^3-2}*24x^2