What is the derivative of 6e^{6e^x+x} ?

The derivative of 6e^{6e^x+x} is 6e^{6e^x+x}(6e^x+1)

What is the first derivative of 6e^{6e^x+x} ?

The first derivative of 6e^{6e^x+x} is 6e^{6e^x+x}(6e^x+1)

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derivative of

6 e^{6 e^{x} + x}

6 e^{6 e^{x} + x} (6 e^{x} + 1)

Solution steps

\frac{d}{d x} (6 e^{6 e^{x} + x})

Take the constant out:

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

= 6 \frac{d}{d x} (e^{6 e^{x} + x})

Apply the chain rule:

e^{6 e^{x} + x} \frac{d}{d x} (6 e^{x} + x)

= e^{6 e^{x} + x} \frac{d}{d x} (6 e^{x} + x)

\frac{d}{d x} (6 e^{x} + x) = 6 e^{x} + 1

= 6 e^{6 e^{x} + x} (6 e^{x} + 1)

What is the derivative of 6e^{6e^x+x} ?
The derivative of 6e^{6e^x+x} is 6e^{6e^x+x}(6e^x+1)
What is the first derivative of 6e^{6e^x+x} ?
The first derivative of 6e^{6e^x+x} is 6e^{6e^x+x}(6e^x+1)