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

The derivative of f(x)=x^5-5x^3+x-1 is 5x^4-15x^2+1

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

The first derivative of f(x)=x^5-5x^3+x-1 is 5x^4-15x^2+1

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derivative of

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

5 x^{4} - 15 x^{2} + 1

Solution steps

\frac{d}{d x} (x^{5} - 5 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} (5 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} (5 x^{3}) = 15 x^{2}

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

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

= 5 x^{4} - 15 x^{2} + 1 - 0

Simplify

= 5 x^{4} - 15 x^{2} + 1

(e^{2})^{^{'}}

\frac{d}{d θ} (2 a sin (θ))

(1 + x) d y = y d x

\int_{0}^{2} (6 - x) x d x

\int_{0}^{4} 4 x^{2} - x^{3} d x

What is the derivative of f(x)=x^5-5x^3+x-1 ?
The derivative of f(x)=x^5-5x^3+x-1 is 5x^4-15x^2+1
What is the first derivative of f(x)=x^5-5x^3+x-1 ?
The first derivative of f(x)=x^5-5x^3+x-1 is 5x^4-15x^2+1