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 \cdot 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} (5 x^{- 5})

\int_{0}^{1} 1 + x d x

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

(\frac{6}{x})^{^{'}}

\frac{d y}{d x} - y = 2 e^{x}

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)