Equation of the Tangent Line to the Curve y = 2sin(x) at x = π/3
To find the equation of the tangent line to the graph of y = 2sin(x) at the point where x = π/3, we need to first calculate the derivative of the function. This derivative represents the slope of the tangent line. After finding the slope, we evaluate the function at x = π/3 to find the corresponding y-coordinate. Finally, using the point-slope form of a line, we can derive the equation of the tangent line. This process involves using the product and quotient rules for differentiation, particularly relevant in calculus.
Equation of the Tangent Line to the Curve y = 2sin(x) at x = π/3
E N D
Presentation Transcript
Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.
Let’s start with the Product Rule… Derivative of the first Leave the first alone Derivative of the second Leave the second alone
The Quotient Rule “low d high minus high d low over low low”
Use the quotient rule to derive the formula for the derivative of y = tan(x) Use the quotient rule to derive the formula for the derivative of y = cot(x)
Use the quotient rule to derive the formula for the derivative of y = csc(x) Use the quotient rule to derive the formula for the derivative of y = sec(x)
QUIZ MONDAY Homework worksheet (pg 124 – 125) #s 5, 6, 8, 15, 25, 35, 39, 43, 45, 50, 53, 62, 63, 66, 67
