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

The derivative of (e^x+x)^4 is 4(e^x+x)^3(e^x+1)

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

The first derivative of (e^x+x)^4 is 4(e^x+x)^3(e^x+1)

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derivative of

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

4 (e^{x} + x)^{3} (e^{x} + 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (e^{x} + x) = e^{x} + 1

= 4 (e^{x} + x)^{3} (e^{x} + 1)

What is the derivative of (e^x+x)^4 ?
The derivative of (e^x+x)^4 is 4(e^x+x)^3(e^x+1)
What is the first derivative of (e^x+x)^4 ?
The first derivative of (e^x+x)^4 is 4(e^x+x)^3(e^x+1)