What is the d/(dX)(-1/9 (X-3)^2+4) ?

The d/(dX)(-1/9 (X-3)^2+4) is -2/9 (X-3)

What is the first d/(dX)(-1/9 (X-3)^2+4) ?

The first d/(dX)(-1/9 (X-3)^2+4) is -2/9 (X-3)

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\frac{d}{d X} (- \frac{1}{9} (X - 3)^{2} + 4)

- \frac{2}{9} (X - 3)

Solution steps

\frac{d}{d X} (- \frac{1}{9} (X - 3)^{2} + 4)

Simplify

- \frac{1}{9} (X - 3)^{2} + 4 : - \frac{( X - 3 ) ^{2}}{9} + 4

= \frac{d}{d X} (- \frac{( X - 3 ) ^{2}}{9} + 4)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d X} (\frac{( X - 3 ) ^{2}}{9}) + \frac{d}{d X} (4)

\frac{d}{d X} (\frac{( X - 3 ) ^{2}}{9}) = \frac{2}{9} (X - 3)

\frac{d}{d X} (4) = 0

= - \frac{2}{9} (X - 3) + 0

Simplify

= - \frac{2}{9} (X - 3)

y^{2} - 2 y - 8 - x = 0

1 6^{2} + 16 y^{2} + 96 x - 40 y = 315

4 x^{2} + 2 x - 2 y = 6

6 \cdot 6 x - 6 x^{2} - 5 = 4 y

x^{2} - 2 x + 16 y + 65 = 0

What is the d/(dX)(-1/9 (X-3)^2+4) ?
The d/(dX)(-1/9 (X-3)^2+4) is -2/9 (X-3)
What is the first d/(dX)(-1/9 (X-3)^2+4) ?
The first d/(dX)(-1/9 (X-3)^2+4) is -2/9 (X-3)