What is the derivative of y=x^4+3e^x ?

The derivative of y=x^4+3e^x is 4x^3+3e^x

What is the first derivative of y=x^4+3e^x ?

The first derivative of y=x^4+3e^x is 4x^3+3e^x

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derivative of

y = x^{4} + 3 e^{x}

4 x^{3} + 3 e^{x}

Solution steps

\frac{d}{d x} (x^{4} + 3 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (3 e^{x})

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + 3 e^{x}

What is the derivative of y=x^4+3e^x ?
The derivative of y=x^4+3e^x is 4x^3+3e^x
What is the first derivative of y=x^4+3e^x ?
The first derivative of y=x^4+3e^x is 4x^3+3e^x