Find the derivative of: ( 9 − 6 x ) ^2 . [Hint: expand first.] Now, find the equation of the tangent line to the curve at (1, 9). Write your answer in m x + b format

Question

Find the derivative of: . [Hint: expand first.]

Now, find the equation of the tangent line to the curve at (1, 9). Write your answer in  format

Answer 1

(9-6x) ^ 2 = 81 - 108x + 36x^2

Derivative is -108 +72x

When x=1, derivative is -36

This is the slope of the tangent line at (1,9)

y = -36x + b

9 = -36 + b

b = 45

y = -36x + 45