mt=f′(x1)=dydx|x=x1m sub t equals f prime of open paren x sub 1 close paren equals d y over d x end-fraction vertical line sub x equals x sub 1 end-sub Slope of the Normal (
When an integrand consists of a product of unrelated functions—such as an algebraic function multiplied by a logarithmic, exponential, or trigonometric function—the textbook introduces Integration by Parts. This method reverses the derivative Product Rule. The Formula mt=f′(x1)=dydx|x=x1m sub t equals f prime of open
) is exactly equal to the first derivative of the function evaluated at that point. Equation of Tangent Line: Using the point-slope form: mt=f′(x1)=dydx|x=x1m sub t equals f prime of open