What is the derivative of 7^xln^2(7) ?

The derivative of 7^xln^2(7) is ln^3(7)*7^x

What is the first derivative of 7^xln^2(7) ?

The first derivative of 7^xln^2(7) is ln^3(7)*7^x

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\frac{d}{d x} (7^{x} ln^{2} (7))

ln^{3} (7) \cdot 7^{x}

Solution steps

\frac{d}{d x} (7^{x} ln^{2} (7))

Take the constant out:

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

= ln^{2} (7) \frac{d}{d x} (7^{x})

Apply the derivative exponent rule:

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

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

Simplify

ln^{2} (7) \cdot 7^{x} ln (7) : ln^{3} (7) \cdot 7^{x}

= ln^{3} (7) \cdot 7^{x}

arccsc (2 x^{4} - 5)

\frac{d}{d x} (\frac{2}{3} x^{3} - 8 x - 15)

x^{2} - 11, 10 x, [- 11, 0]

x \to \infty lim (4 + \frac{3}{x})

What is the derivative of 7^xln^2(7) ?
The derivative of 7^xln^2(7) is ln^3(7)*7^x
What is the first derivative of 7^xln^2(7) ?
The first derivative of 7^xln^2(7) is ln^3(7)*7^x