What is the derivative of 7(5^x) ?

The derivative of 7(5^x) is 7*5^xln(5)

What is the first derivative of 7(5^x) ?

The first derivative of 7(5^x) is 7*5^xln(5)

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derivative of

7 (5^{x})

7 \cdot 5^{x} ln (5)

Solution steps

\frac{d}{d x} (7 \cdot 5^{x})

Take the constant out:

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

= 7 \frac{d}{d x} (5^{x})

Apply the derivative exponent rule:

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

= 7 \cdot 5^{x} ln (5)

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

f (x) = 5 x cos (x), at x = π

f (x) = (x^{x} + 1)^{2}

\frac{d}{d x} ((2 x - 1) (x^{2} - 6 x + 3))

\frac{d y}{d t} = \frac{1}{1 + y}

What is the derivative of 7(5^x) ?
The derivative of 7(5^x) is 7*5^xln(5)
What is the first derivative of 7(5^x) ?
The first derivative of 7(5^x) is 7*5^xln(5)