`f(x) = (x + 2)(x^2 + 5), (-1,6)` Find an equation of the tangent line to the graph of `f` at the given point.

1 Answer

mathace's profile pic

mathace | (Level 3) Assistant Educator

Posted on

Given: `f(x)=(x+2)(x^2+5),(-1,6)`

Find the derivative using the Quotient Rule. Then substitute in the given x value into the f'(x) equation to calculate the slope.







Use the given point (-1, 6) and the slope 4 to write an equation of the line that is tangent to the function at the specified point.