What is the derivative of f(x)=x^5+x^2-2x+1 ?

The derivative of f(x)=x^5+x^2-2x+1 is 5x^4+2x-2

What is the first derivative of f(x)=x^5+x^2-2x+1 ?

The first derivative of f(x)=x^5+x^2-2x+1 is 5x^4+2x-2

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derivative of

f (x) = x^{5} + x^{2} - 2 x + 1

5 x^{4} + 2 x - 2

Solution steps

\frac{d}{d x} (x^{5} + x^{2} - 2 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (1)

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

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (2 x) = 2

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

= 5 x^{4} + 2 x - 2 + 0

Simplify

= 5 x^{4} + 2 x - 2

\frac{d}{d t} (2 t (\frac{n}{4}) + c)

ln (tan (\frac{x}{2}))

4 e^{2} x

\frac{( x ^{2} )}{10}

\frac{d}{d q} ((1 + sec (q)) sin (q))

What is the derivative of f(x)=x^5+x^2-2x+1 ?
The derivative of f(x)=x^5+x^2-2x+1 is 5x^4+2x-2
What is the first derivative of f(x)=x^5+x^2-2x+1 ?
The first derivative of f(x)=x^5+x^2-2x+1 is 5x^4+2x-2