Presentation on theme: "DIFFERENTIATION & INTEGRATION CHAPTER 4. Differentiation is the process of finding the derivative of a function. Derivative of INTRODUCTION TO DIFFERENTIATION."— Presentation transcript:
Consider y =f(x) with point for function of a graph. Tangent line – straight line that touches y = f(x). Normal line – line that is perpendicular to tangent line. Slope of tangent line, Equation of the line tangent Equation of normal line TANGENT AND NORMAL LINE
Example : Given a curve equation at point (2,-1). a)Implicitly differentiate the equation.
b) Find the equation of the line tangent of the curve. Step 1 : Find the slope of tangent, m. Step 2 : Find the equation using
c) Find the equation of the normal line of the curve.
1.If, find the equation of the tangent line at (-1,4). 2.If, find the slope of the tangent line to the curve where. Find the equation of the line tangent to the curve where EXERCISE 4