What is the derivative of y=(e^x+x)^5 ?

The derivative of y=(e^x+x)^5 is 5(e^x+x)^4(e^x+1)

What is the first derivative of y=(e^x+x)^5 ?

The first derivative of y=(e^x+x)^5 is 5(e^x+x)^4(e^x+1)

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derivative of

y = (e^{x} + x)^{5}

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

Solution steps

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

Apply the chain rule:

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

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

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

= 5 (e^{x} + x)^{4} (e^{x} + 1)

f (x) = 2^{4 x} + 4 x^{2}

y^{^{'}} + x y = x y^{3}

\frac{d y}{d x}, 5 x y = 8

x \to 0 lim (\frac{x}{x + 7})

y^{^{'}} = 1 + y - 2 x + 3

What is the derivative of y=(e^x+x)^5 ?
The derivative of y=(e^x+x)^5 is 5(e^x+x)^4(e^x+1)
What is the first derivative of y=(e^x+x)^5 ?
The first derivative of y=(e^x+x)^5 is 5(e^x+x)^4(e^x+1)