What is the derivative of e^{x^5}+log_{2}(pi) ?

The derivative of e^{x^5}+log_{2}(pi) is 5e^{x^5}x^4

What is the first derivative of e^{x^5}+log_{2}(pi) ?

The first derivative of e^{x^5}+log_{2}(pi) is 5e^{x^5}x^4

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\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

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

Solution steps

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{5}}) + \frac{d}{d x} (lo g_{2} (π))

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

\frac{d}{d x} (lo g_{2} (π)) = 0

= e^{x^{5}} \cdot 5 x^{4} + 0

Simplify

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

What is the derivative of e^{x^5}+log_{2}(pi) ?
The derivative of e^{x^5}+log_{2}(pi) is 5e^{x^5}x^4
What is the first derivative of e^{x^5}+log_{2}(pi) ?
The first derivative of e^{x^5}+log_{2}(pi) is 5e^{x^5}x^4