What is the derivative of (8^x/(7^x)) ?

The derivative of (8^x/(7^x)) is (8/7)^xln(8/7)

What is the first derivative of (8^x/(7^x)) ?

The first derivative of (8^x/(7^x)) is (8/7)^xln(8/7)

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\frac{d}{d x} (\frac{8 ^{x}}{7 ^{x}})

(\frac{8}{7})^{x} ln (\frac{8}{7})

Solution steps

\frac{d}{d x} (\frac{8 ^{x}}{7 ^{x}})

Simplify

\frac{8 ^{x}}{7 ^{x}} : (\frac{8}{7})^{x}

= \frac{d}{d x} ((\frac{8}{7})^{x})

Apply the derivative exponent rule:

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

= (\frac{8}{7})^{x} ln (\frac{8}{7})

What is the derivative of (8^x/(7^x)) ?
The derivative of (8^x/(7^x)) is (8/7)^xln(8/7)
What is the first derivative of (8^x/(7^x)) ?
The first derivative of (8^x/(7^x)) is (8/7)^xln(8/7)