The Derivative of the Reciprocal Function (3.3.1)

Question 1

• The derivative of f(x) = x^-1 is f’(x)=-x^-2.

Answer 1

• The derivative of f(x) = x^-1 is f’(x)=-x^-2.

Question 2

• To find the equation of a line tangent to a curve, take the derivative, evaluate the derivative at the point of tangency to find the slope, and substitute the slope and the point of tangency into the point-slope form of a line.

Answer 2

• To find the equation of a line tangent to a curve, take the derivative, evaluate the derivative at the point of tangency to find the slope, and substitute the slope and the point of tangency into the point-slope form of a line.