What is derivative of y-4=2(x-1)^2 ?

The answer to derivative of y-4=2(x-1)^2 is (dy)/(dx)=4(x-1)

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derivative of y-4=2(x-1)^2

derivative of

y - 4 = 2 (x - 1)^{2}

\frac{d y}{d x} = 4 (x - 1)

Solution steps

y - 4 = 2 (x - 1)^{2}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 4 (x - 1)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 4 (x - 1)

\frac{d y}{d x} = 4 (x - 1)

d er i v a t i v e x y = y^{2}

d er i v a t i v e x^{3} y^{2} - 2 y = 4

d er i v a t i v e y + sin (y) = x^{2}

d er i v a t i v e x^{2} - y^{2} = 2

d er i v a t i v e x = tan^{2} (y)

What is derivative of y-4=2(x-1)^2 ?
The answer to derivative of y-4=2(x-1)^2 is (dy)/(dx)=4(x-1)