What is the derivative of y=e^{(4x^3+5)^2} ?

The derivative of y=e^{(4x^3+5)^2} is e^{(4x^3+5)^2}*24x^2(4x^3+5)

What is the first derivative of y=e^{(4x^3+5)^2} ?

The first derivative of y=e^{(4x^3+5)^2} is e^{(4x^3+5)^2}*24x^2(4x^3+5)

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derivative of

y = e^{(4 x^{3} + 5)^{2}}

e^{(4 x^{3} + 5)^{2}} \cdot 24 x^{2} (4 x^{3} + 5)

Solution steps

\frac{d}{d x} (e^{(4 x^{3} + 5)^{2}})

Apply the chain rule:

e^{(4 x^{3} + 5)^{2}} \frac{d}{d x} ((4 x^{3} + 5)^{2})

= e^{(4 x^{3} + 5)^{2}} \frac{d}{d x} ((4 x^{3} + 5)^{2})

\frac{d}{d x} ((4 x^{3} + 5)^{2}) = 24 x^{2} (4 x^{3} + 5)

= e^{(4 x^{3} + 5)^{2}} \cdot 24 x^{2} (4 x^{3} + 5)

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What is the derivative of y=e^{(4x^3+5)^2} ?
The derivative of y=e^{(4x^3+5)^2} is e^{(4x^3+5)^2}*24x^2(4x^3+5)
What is the first derivative of y=e^{(4x^3+5)^2} ?
The first derivative of y=e^{(4x^3+5)^2} is e^{(4x^3+5)^2}*24x^2(4x^3+5)