# Homework Help: Equation for the tangent line

1. Jun 19, 2009

### Sophia1787

1. The problem statement, all variables and given/known data

Find the equation for the tangent line to the curve f(x) = 2x3 - 5x - 3 at
x = 2

2. Relevant equations
How do i start this? I'm really confused and have an assignment with a bunch of these questions due tomorrow by midnight... if someone could help me that would be greatly appreciated..

3. The attempt at a solution

2. Jun 20, 2009

### Dick

The derivative f'(x) will give you the slope of the tangent. x and f(x) will give you a point on the curve. If you have a point and a slope, you have the equation for the tangent line, right?

3. Jun 20, 2009

### HallsofIvy

One of the very first things you should learn in Calculus is that the derivative at a point is the slope of the tangent line. And even before Calculus you should have learned how to write the equation of a line given a point and the slope.

4. Jun 20, 2009

### Sophia1787

so basically 6x^2-5 ?

5. Jun 20, 2009

### Sophia1787

do i then plug in the 2? and solve?

6. Jun 20, 2009