What is the derivative of 7^xln(7) ?

The derivative of 7^xln(7) is ln^2(7)*7^x

What is the first derivative of 7^xln(7) ?

The first derivative of 7^xln(7) is ln^2(7)*7^x

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

ln^{2} (7) \cdot 7^{x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the derivative exponent rule:

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

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

Simplify

ln (7) \cdot 7^{x} ln (7) : ln^{2} (7) \cdot 7^{x}

= ln^{2} (7) \cdot 7^{x}

\frac{3 e ^{x}}{( 3 + e ^{x} ) ^{2}}

\frac{\partial}{\partial y} (5 + x^{2} + y^{2} + 2 x y)

y^{^{''}} + 12 y^{^{'}} + 36 y = 0

\int \frac{( ( ln ( x ) ) ^{7} )}{x} d x

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

What is the derivative of 7^xln(7) ?
The derivative of 7^xln(7) is ln^2(7)*7^x
What is the first derivative of 7^xln(7) ?
The first derivative of 7^xln(7) is ln^2(7)*7^x