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

The derivative of x^5+5^x is 5x^4+5^xln(5)

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

The first derivative of x^5+5^x is 5x^4+5^xln(5)

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derivative of

x^{5} + 5^{x}

5 x^{4} + 5^{x} ln (5)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 5 x^{4} + 5^{x} ln (5)

\int_{0}^{1} sin (x) d x

x \to 0 lim (\frac{2 x ^{2}}{sin ^{2} ( 8 x )})

f (x) = x^{4} - 2 x^{3} - 5 x - 3, at x = 1

\frac{1}{16 x ^{2}}, x, \frac{x}{10}

\int (3 x - 1) (x + 5) d x

What is the derivative of x^5+5^x ?
The derivative of x^5+5^x is 5x^4+5^xln(5)
What is the first derivative of x^5+5^x ?
The first derivative of x^5+5^x is 5x^4+5^xln(5)