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

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

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

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

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derivative of

3 e^{x} + 5^{x}

3 e^{x} + 5^{x} ln (5)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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