Question

The coordinate of the point on the curve y=2x-x^2, the tangent at which has slope 4 are?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The correct answer is (-1, -3).

Given: Equation = $y=2x-x^{2}$.

Slope = 4.

To Find: Coordinate of the point on the curve where tangent is there.

Solution:

As the slope is 4.

So the derivative of equation should be 4.

$y^{|}=2-2x$

4 = 2 - 2x

x = -1

Now put this value of x in equation of curve.

y = $2(-1)-(-1)^{2}$

y = -2 - 1

y = -3

Hence, the coordinates of equation is (-1, -3).

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