What is the derivative of e*3^x ?

The derivative of e*3^x is e3^xln(3)

What is the first derivative of e*3^x ?

The first derivative of e*3^x is e3^xln(3)

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derivative of

e \cdot 3^{x}

e 3^{x} ln (3)

Solution steps

\frac{d}{d x} (e 3^{x})

Take the constant out:

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

= e \frac{d}{d x} (3^{x})

Apply the derivative exponent rule:

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

= e 3^{x} ln (3)

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

\int_{1}^{7} π (x - 1)^{2} d x

y = 3 x^{\frac{2}{3}} - 2 x

\int_{- 3}^{0} (x^{2} - 4 x + 7) d x

\int (x + 3) 2 - x d x

What is the derivative of e*3^x ?
The derivative of e*3^x is e3^xln(3)
What is the first derivative of e*3^x ?
The first derivative of e*3^x is e3^xln(3)