What is the derivative of-(20,0)/(sqrt(1+0.2t))+21,0 ?

The derivative of-(20,0)/(sqrt(1+0.2t))+21,0 is -(20,0)(-1/(2(1+0.2t)^{3/2)}*0.2)+0

What is the first derivative of-(20,0)/(sqrt(1+0.2t))+21,0 ?

The first derivative of-(20,0)/(sqrt(1+0.2t))+21,0 is -(20,0)(-1/(2(1+0.2t)^{3/2)}*0.2)+0

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derivative of

- \frac{20 , 0}{1 + 0.2 t} + 21, 0

- (20, 0) (- \frac{1}{2 ( 1 + 0.2 t ) ^{\frac{3}{2}}} \cdot 0.2) + 0

Solution steps

\frac{d}{d t} (- \frac{20 , 0}{1 + 0.2 t} + 21)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (\frac{20 , 0}{1 + 0.2 t}) + \frac{d}{d t} (21)

\frac{d}{d t} (\frac{20 , 0}{1 + 0.2 t}) = (20, 0) (- \frac{1}{2 ( 1 + 0.2 t ) ^{\frac{3}{2}}} \cdot 0.2)

\frac{d}{d t} (21) = 0

= - (20, 0) (- \frac{1}{2 ( 1 + 0.2 t ) ^{\frac{3}{2}}} \cdot 0.2) + 0

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What is the derivative of-(20,0)/(sqrt(1+0.2t))+21,0 ?
The derivative of-(20,0)/(sqrt(1+0.2t))+21,0 is -(20,0)(-1/(2(1+0.2t)^{3/2)}*0.2)+0
What is the first derivative of-(20,0)/(sqrt(1+0.2t))+21,0 ?
The first derivative of-(20,0)/(sqrt(1+0.2t))+21,0 is -(20,0)(-1/(2(1+0.2t)^{3/2)}*0.2)+0