What is the derivative of x^4+5e^x ?

The derivative of x^4+5e^x is 4x^3+5e^x

What is the first derivative of x^4+5e^x ?

The first derivative of x^4+5e^x is 4x^3+5e^x

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derivative of

x^{4} + 5 e^{x}

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

Solution steps

\frac{d}{d x} (x^{4} + 5 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (5 e^{x})

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

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

= 4 x^{3} + 5 e^{x}

\frac{\partial}{\partial x} (2 x y^{2})

\frac{\partial}{\partial x} (3 x^{2} - 6 x y + y^{3} - 9 y + 5)

\frac{d}{d x} (arcsin (\frac{2 x}{1 + x ^{2}}))

\frac{d}{d t} (- 3 e^{- 3 t})

What is the derivative of x^4+5e^x ?
The derivative of x^4+5e^x is 4x^3+5e^x
What is the first derivative of x^4+5e^x ?
The first derivative of x^4+5e^x is 4x^3+5e^x