What is the derivative of x^5+x+1 ?

The derivative of x^5+x+1 is 5x^4+1

What is the first derivative of x^5+x+1 ?

The first derivative of x^5+x+1 is 5x^4+1

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\frac{d}{d x} (x^{5} + x + 1)

5 x^{4} + 1

Solution steps

\frac{d}{d x} (x^{5} + x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d x}{d x} + \frac{d}{d x} (1)

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

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= 5 x^{4} + 1 + 0

Simplify

= 5 x^{4} + 1

\frac{d}{d x} (\frac{( ( 0.06 x ^{2} ) + 17 x + 340 )}{x})

l a pl a ce t r an s f or m 2 e^{\frac{t}{2}}

\int_{2}^{t} \frac{1}{( 5 x ^{5} )} d x

\int \frac{1}{P - P ^{2}} d P

\int \frac{x}{x + 4} d x

What is the derivative of x^5+x+1 ?
The derivative of x^5+x+1 is 5x^4+1
What is the first derivative of x^5+x+1 ?
The first derivative of x^5+x+1 is 5x^4+1