Find the equation of the tangent line to the curve g(x) = 3x2 − 5x + 1 at the point (1, −1).

Question

My teacher what’s us to use the power rule to find the tangent line.

Answer 1

g(x) = 3x² - 5x + 1

g'(x) = 6x - 5

g'(1) = 6(1) - 5, this is the slope of the tangent line.

Now use point, (1, g(1)), slope, (from above), form to detrive equation of tangent line.