What is the derivative of 5e^{5e^x+x} ?

The derivative of 5e^{5e^x+x} is 5e^{5e^x+x}(5e^x+1)

What is the first derivative of 5e^{5e^x+x} ?

The first derivative of 5e^{5e^x+x} is 5e^{5e^x+x}(5e^x+1)

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derivative of

5 e^{5 e^{x} + x}

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 e^{x} + x) = 5 e^{x} + 1

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

\frac{d}{d x} (3 x + \frac{1}{x})

\int_{- 8}^{2} 16 - 6 x - x d x

\int \frac{2}{x ^{2} + 1} d x

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

\int 2 sin (t) cos (t) d t

What is the derivative of 5e^{5e^x+x} ?
The derivative of 5e^{5e^x+x} is 5e^{5e^x+x}(5e^x+1)
What is the first derivative of 5e^{5e^x+x} ?
The first derivative of 5e^{5e^x+x} is 5e^{5e^x+x}(5e^x+1)