What is the derivative of 20x-1/2*9.8*x^2 ?

The derivative of 20x-1/2*9.8*x^2 is 20-9.8x

What is the first derivative of 20x-1/2*9.8*x^2 ?

The first derivative of 20x-1/2*9.8*x^2 is 20-9.8x

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\frac{d}{d x} (20 x - \frac{1}{2} \cdot 9.8 \cdot x^{2})

20 - 9.8 x

Solution steps

\frac{d}{d x} (20 x - \frac{1}{2} \cdot 9.8 x^{2})

Simplify

20 x - \frac{1}{2} \cdot 9.8 x^{2} : 20 x - 4.9 x^{2}

= \frac{d}{d x} (20 x - 4.9 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (20 x) - \frac{d}{d x} (4.9 x^{2})

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (4.9 x^{2}) = 9.8 x

= 20 - 9.8 x

\int 2 sin^{3} (x) cos^{2} (x) d x

\frac{d y}{d t} = \frac{2 t + sec ^{2} ( t )}{2 y}

\int (cos (3 x) - sin (5 x)) d x

\frac{d}{d x} (8 csc (x) + 2)

What is the derivative of 20x-1/2*9.8*x^2 ?
The derivative of 20x-1/2*9.8*x^2 is 20-9.8x
What is the first derivative of 20x-1/2*9.8*x^2 ?
The first derivative of 20x-1/2*9.8*x^2 is 20-9.8x