Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

In which the point is and the slope is m.

(3, 20)

This means that . So

Slope:

The slope is the derivative of the function at the point:

The function is:

The derivative is:

At the point, we have that . So

So the equation to the tangent line to the curve a the point is:

its a straight line parallel to the time axis

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x