What is the derivative of x^4+4e^x ?

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

0 \to 1 lim (e^{0})

\frac{d y}{d x} = 0.5 - x + 2 y

\int_{0}^{x} e^{- x^{2}} d x

\int \frac{2 x ^{4} + 5 x ^{3} - x}{x ^{3}} d x

\int_{1}^{8} \frac{x}{8 + x ^{2}} d x

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