What is the derivative of 5^y ?

The derivative of 5^y is 5^yln(5)

What is the first derivative of 5^y ?

The first derivative of 5^y is 5^yln(5)

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derivative of

5^{y}

5^{y} ln (5)

Solution steps

\frac{d}{d y} (5^{y})

Apply the derivative exponent rule:

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

= 5^{y} ln (5)

\int (r^{3} + 1)^{2} r^{2} d r

\frac{1 - ln ( x )}{x ^{2}}

\int_{4}^{15} 6 x^{- 2} d x

4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 2 x

\frac{d}{d s} (\frac{s + 2}{s ^{2} + 4 s + 13})