Find an equation of the tangent line to the curve at the given point

Question

y = 4x -3x^2 ( 2, - 4)

Answer 1

The equation of the curve is .

Apply derivative on each side.

Substitute the values in above expression.

The slope of tangent line is .

Step 2:

Find the tangent line using the slope intercept form of line equation .

Where is the slope and is the -intercept.

Substitute the values and in slope intercept form.

The tangent line equation is .

Solution :

The tangent line equation is .