What is the derivative of 5*e^x+2*3^x ?

The derivative of 5*e^x+2*3^x is 5e^x+2*3^xln(3)

What is the first derivative of 5*e^x+2*3^x ?

The first derivative of 5*e^x+2*3^x is 5e^x+2*3^xln(3)

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\frac{d}{d x} (5 \cdot e^{x} + 2 \cdot 3^{x})

5 e^{x} + 2 \cdot 3^{x} ln (3)

Solution steps

\frac{d}{d x} (5 e^{x} + 2 \cdot 3^{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 e^{x}) + \frac{d}{d x} (2 \cdot 3^{x})

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

\frac{d}{d x} (2 \cdot 3^{x}) = 2 \cdot 3^{x} ln (3)

= 5 e^{x} + 2 \cdot 3^{x} ln (3)

e^{- t^{2}}

\int (x^{2} e^{x}) d x

y = x^{3} + 1, (0, 2)

x \to \infty + lim (x^{2} x)

\frac{\partial}{\partial y} (\frac{e ^{x}}{1 + y})

What is the derivative of 5*e^x+2*3^x ?
The derivative of 5*e^x+2*3^x is 5e^x+2*3^xln(3)
What is the first derivative of 5*e^x+2*3^x ?
The first derivative of 5*e^x+2*3^x is 5e^x+2*3^xln(3)