What is the derivative of (e^{4x^2})^7 ?

The derivative of (e^{4x^2})^7 is e^{28x^2}*56x

What is the first derivative of (e^{4x^2})^7 ?

The first derivative of (e^{4x^2})^7 is e^{28x^2}*56x

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derivative of

(e^{4 x^{2}})^{7}

e^{28 x^{2}} \cdot 56 x

Solution steps

\frac{d}{d x} ((e^{4 x^{2}})^{7})

Simplify

(e^{4 x^{2}})^{7} : e^{28 x^{2}}

= \frac{d}{d x} (e^{28 x^{2}})

Apply the chain rule:

e^{28 x^{2}} \frac{d}{d x} (28 x^{2})

= e^{28 x^{2}} \frac{d}{d x} (28 x^{2})

\frac{d}{d x} (28 x^{2}) = 56 x

= e^{28 x^{2}} \cdot 56 x

\frac{d x}{d t} = 5 x - 3

12 x

y^{^{'}} = e^{3 y} sin (4 x)

\frac{\partial}{\partial x} (6 - x^{2} - y^{2})

f (x) = x^{2} + x, at x = 1, x = 4

What is the derivative of (e^{4x^2})^7 ?
The derivative of (e^{4x^2})^7 is e^{28x^2}*56x
What is the first derivative of (e^{4x^2})^7 ?
The first derivative of (e^{4x^2})^7 is e^{28x^2}*56x