What is the derivative of f(x)=3^x-5e^x ?

The derivative of f(x)=3^x-5e^x is 3^xln(3)-5e^x

What is the first derivative of f(x)=3^x-5e^x ?

The first derivative of f(x)=3^x-5e^x is 3^xln(3)-5e^x

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derivative of

f (x) = 3^{x} - 5 e^{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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