What is the derivative of (2/5 ^x) ?

The derivative of (2/5 ^x) is (2/5)^xln(2/5)

What is the first derivative of (2/5 ^x) ?

The first derivative of (2/5 ^x) is (2/5)^xln(2/5)

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\frac{d}{d x} ((\frac{2}{5})^{x})

(\frac{2}{5})^{x} ln (\frac{2}{5})

Solution steps

\frac{d}{d x} ((\frac{2}{5})^{x})

Apply the derivative exponent rule:

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

= (\frac{2}{5})^{x} ln (\frac{2}{5})

\int \frac{1}{1 + 4 x ^{2}} d x

(x + y + 4) d x + (2 x + 2 y + 1) d y = 0

\frac{d y}{d x} (25 - x^{2}) + 5 x y = 0

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

y^{^{'}} = y x e^{x^{2}} - y

What is the derivative of (2/5 ^x) ?
The derivative of (2/5 ^x) is (2/5)^xln(2/5)
What is the first derivative of (2/5 ^x) ?
The first derivative of (2/5 ^x) is (2/5)^xln(2/5)