What is the derivative of 7^{9x} ?

The derivative of 7^{9x} is 9ln(7)*40353607^x

What is the first derivative of 7^{9x} ?

The first derivative of 7^{9x} is 9ln(7)*40353607^x

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\frac{d}{d x} (7^{9 x})

9 ln (7) \cdot 4035360 7^{x}

Solution steps

\frac{d}{d x} (7^{9 x})

Simplify

7^{9 x} : 4035360 7^{x}

= \frac{d}{d x} (4035360 7^{x})

Apply the derivative exponent rule:

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

= 4035360 7^{x} ln (40353607)

Simplify

ln (40353607) : 9 ln (7)

= 9 ln (7) \cdot 4035360 7^{x}

What is the derivative of 7^{9x} ?
The derivative of 7^{9x} is 9ln(7)*40353607^x
What is the first derivative of 7^{9x} ?
The first derivative of 7^{9x} is 9ln(7)*40353607^x