What is the equation of the tangent line to the curve y = 2xsin(x) at point (pi/2, pi)?
1 Answer
Explanation:
STEP 1:
Find the derivative of y (the slope of the tangent line). We need to use the product rule to take this derivative.
Treat 2x as the "first term" and sin(x) as the "second term":
STEP 1a: find the derivative of 2x and sin(x), to plug into the equation
Step 1b: plug into equation
STEP 2: find the derivative at
Since we are looking to find the equation of the tangent line at
STEP 3: plug in the tangent slope found in step 2 and point given into the point-slope equation