What is the derivative of h(x)=e^x+x^5 ?

The derivative of h(x)=e^x+x^5 is e^x+5x^4

What is the first derivative of h(x)=e^x+x^5 ?

The first derivative of h(x)=e^x+x^5 is e^x+5x^4

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derivative of

h (x) = e^{x} + x^{5}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to \frac{5}{2} lim (x^{2} + 2 x + 4)

\int cos (\frac{3 x}{2}) d x

x \to - 3 lim (\frac{1}{x - 3})

\frac{d}{d x} (2 (x^{^{'}} - n) e^{- (p (x, t) t)})

\frac{d}{d x} (x^{\frac{1}{7}} (x + 8))

What is the derivative of h(x)=e^x+x^5 ?
The derivative of h(x)=e^x+x^5 is e^x+5x^4
What is the first derivative of h(x)=e^x+x^5 ?
The first derivative of h(x)=e^x+x^5 is e^x+5x^4