What is the derivative of f(x)=x^5-2x^3+x-1 ?

The derivative of f(x)=x^5-2x^3+x-1 is 5x^4-6x^2+1

What is the first derivative of f(x)=x^5-2x^3+x-1 ?

The first derivative of f(x)=x^5-2x^3+x-1 is 5x^4-6x^2+1

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derivative of

f (x) = x^{5} - 2 x^{3} + x - 1

5 x^{4} - 6 x^{2} + 1

Solution steps

\frac{d}{d x} (x^{5} - 2 x^{3} + x - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (2 x^{3}) + \frac{d x}{d x} - \frac{d}{d x} (1)

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

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

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

= 5 x^{4} - 6 x^{2} + 1 - 0

Simplify

= 5 x^{4} - 6 x^{2} + 1

\frac{d}{d x} (\frac{6 x + 2 x ^{2}}{( 3 + 2 x ) ^{2}})

\int_{- 1}^{3} x^{2} + 6 x + 3 d x

x \to 2 + lim (3 - a x - x^{2})

\int \frac{7 - x}{( x - 2 ) ^{2}} d x

\int ln (x^{2} - x + 2) d x

What is the derivative of f(x)=x^5-2x^3+x-1 ?
The derivative of f(x)=x^5-2x^3+x-1 is 5x^4-6x^2+1
What is the first derivative of f(x)=x^5-2x^3+x-1 ?
The first derivative of f(x)=x^5-2x^3+x-1 is 5x^4-6x^2+1