What is the derivative of 4x^6-3x^5-10x^2+5x+16 ?

The derivative of 4x^6-3x^5-10x^2+5x+16 is 24x^5-15x^4-20x+5

What is the first derivative of 4x^6-3x^5-10x^2+5x+16 ?

The first derivative of 4x^6-3x^5-10x^2+5x+16 is 24x^5-15x^4-20x+5

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\frac{d}{d x} (4 x^{6} - 3 x^{5} - 10 x^{2} + 5 x + 16)

24 x^{5} - 15 x^{4} - 20 x + 5

Solution steps

\frac{d}{d x} (4 x^{6} - 3 x^{5} - 10 x^{2} + 5 x + 16)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{6}) - \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (16)

\frac{d}{d x} (4 x^{6}) = 24 x^{5}

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (10 x^{2}) = 20 x

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

\frac{d}{d x} (16) = 0

= 24 x^{5} - 15 x^{4} - 20 x + 5 + 0

Simplify

= 24 x^{5} - 15 x^{4} - 20 x + 5

x \to 3 lim (6)

(1 + e^{x}) y y^{^{'}} = e^{x}

\frac{d}{d x} (36 e^{- 6 x})

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

\int (9 - x^{2})^{- \frac{3}{2}} d x

What is the derivative of 4x^6-3x^5-10x^2+5x+16 ?
The derivative of 4x^6-3x^5-10x^2+5x+16 is 24x^5-15x^4-20x+5
What is the first derivative of 4x^6-3x^5-10x^2+5x+16 ?
The first derivative of 4x^6-3x^5-10x^2+5x+16 is 24x^5-15x^4-20x+5