calc
posted by calc .
Find an equation of the tangent line to the curve at the given point.
y = 6 x sin x
P= (pi/2 , 3pi)
i know the slope of a tangent line is equal to the first derivative. For that I got 6xcosx + 6sinx but idk how to put that into the yy1=m(xx1) formula to make the equation

calc 
TutorCat
great job on the first derivative!
m=slope
m= 6(pi/2)cos(pi/2) + 6sin(pi/2)
y1=3pi
x1=pi/2 
calc 
calc
oh! ok! thank you!
so then m=6 and the equation of the tangent line would be y=6x
Thank you! 
calc 
TutorCat
remember to plug in your y1 and x1 & solve for y!
yy1=m(xx1)
y3pi=6(xpi/2)
Respond to this Question
Similar Questions

Calc.
Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the xaxis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, … 
Calculus  Tangent Line
Hi, im having problems with the following problem. The main issue is actually starting the problem. Find the two points on the curve y = x^4  2x^2  x that have a common tangent line. First, find the derivative of y(x) so that you … 
Help Calc.!
original curve: 2y^3+6(x^2)y12x^2+6y=1 dy/dx=(4x2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point … 
please help; calc
original curve: 2y^3+6(x^2)y12x^2+6y=1 dy/dx=(4x2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point … 
Calculus
I have a two part question that pertains to a curve (r(x)) and its tangent line at x=3. We are given that at x=3, r(x)=8. In order to find the slope of the tangent line, we are given another point (on the tangent line): (3.2, 8.5). … 
calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the xaxis. If the tangent point is close to the yaxis, the line segment is long. If the tangent … 
calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 
Calc AB
Suppose that f(x) is an invertible function (that is, has an inverse function), and that the slope of the tangent line to the curve y = f(x) at the point (2, –4) is –0.2. Then: (Points : 1) A) The slope of the tangent line to the … 
Calculus AB
Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x1)e^x. For which value of x is the slope of the tangent line to f positive? 
Calculus AB
Could someone please help me with these tangent line problems?