What is the derivative of (7^x)^4 ?

The derivative of (7^x)^4 is 4ln(7)*2401^x

What is the first derivative of (7^x)^4 ?

The first derivative of (7^x)^4 is 4ln(7)*2401^x

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derivative of

(7^{x})^{4}

4 ln (7) \cdot 240 1^{x}

Solution steps

\frac{d}{d x} ((7^{x})^{4})

Simplify

(7^{x})^{4} : 240 1^{x}

= \frac{d}{d x} (240 1^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 240 1^{x} ln (2401)

Simplify

ln (2401) : 4 ln (7)

= 4 ln (7) \cdot 240 1^{x}

What is the derivative of (7^x)^4 ?
The derivative of (7^x)^4 is 4ln(7)*2401^x
What is the first derivative of (7^x)^4 ?
The first derivative of (7^x)^4 is 4ln(7)*2401^x