What is the derivative of x^6-4x^5+5x^4-5x^2+4x-1 ?

The derivative of x^6-4x^5+5x^4-5x^2+4x-1 is 6x^5-20x^4+20x^3-10x+4

What is the first derivative of x^6-4x^5+5x^4-5x^2+4x-1 ?

The first derivative of x^6-4x^5+5x^4-5x^2+4x-1 is 6x^5-20x^4+20x^3-10x+4

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\frac{d}{d x} (x^{6} - 4 x^{5} + 5 x^{4} - 5 x^{2} + 4 x - 1)

6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4

Solution steps

\frac{d}{d x} (x^{6} - 4 x^{5} + 5 x^{4} - 5 x^{2} + 4 x - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{6}) - \frac{d}{d x} (4 x^{5}) + \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (4 x) - \frac{d}{d x} (1)

\frac{d}{d x} (x^{6}) = 6 x^{5}

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (5 x^{2}) = 10 x

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

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

= 6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4 - 0

Simplify

= 6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4

\int_{1}^{5} 4 r^{2} ln (r) d r

f (x) = \frac{x}{x ^{2} - x}

\int (x^{3} - 6 x - 9) d x

f (x) = \frac{4 x}{( x - 9 ) ^{5}}

\frac{\partial}{\partial z} (x y e^{x z})

What is the derivative of x^6-4x^5+5x^4-5x^2+4x-1 ?
The derivative of x^6-4x^5+5x^4-5x^2+4x-1 is 6x^5-20x^4+20x^3-10x+4
What is the first derivative of x^6-4x^5+5x^4-5x^2+4x-1 ?
The first derivative of x^6-4x^5+5x^4-5x^2+4x-1 is 6x^5-20x^4+20x^3-10x+4