What is the derivative of (e^x+4^3) ?

The derivative of (e^x+4^3) is 3(e^x+4)^2e^x

What is the first derivative of (e^x+4^3) ?

The first derivative of (e^x+4^3) is 3(e^x+4)^2e^x

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

3 (e^{x} + 4)^{2} e^{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

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What is the derivative of (e^x+4^3) ?
The derivative of (e^x+4^3) is 3(e^x+4)^2e^x
What is the first derivative of (e^x+4^3) ?
The first derivative of (e^x+4^3) is 3(e^x+4)^2e^x