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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\frac{d}{d x} (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)

f (x) = e^{x} cos (x)

\frac{d}{d x} (\frac{40 + 24 x ^{4}}{1 + 4 x ^{4}})

\frac{x}{x + 6}

\int \frac{x ^{2} - 1}{x ( x + 1 ) ^{3}} d x

x \to 0 lim (\frac{5 x ^{2}}{x ^{2}})

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)