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)

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)