find the equation of the tangent line to the curve when x=7.

Question

f(x)= 6-x^2

Answer 1

f(x) = 6 - x^2
f'(x) = -2x

Find the slope at x=7
f'(7) = -14

Find f(7) because you need a point to find the tangent line.

f(7) = -43

So you have m = -14 and the point (7, -43). Use y - y1 = m(x - x1) to find the tangent line. Fill in (7, -43) for (x1, y1).