SOLUTION: find the equation of the tangent line for y=x^3-3x+1 at point (2,3)

SOLUTION: find the equation of the tangent line for y=x^3-3x+1 at point (2,3)

Algebra.Com

Question 1070565: find the equation of the tangent line for
y=x^3-3x+1
at point (2,3)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The derivative of x^3-3x+1=3x^2-3
When x=2, the slope is 9.
point slope formula at (2,3) with slope 9 is y-y1=m(x-x1), m the slope and (x1,y1) the point
y-3=9*(x-2)
y=9x-15

RELATED QUESTIONS
Find the equation of the tangent line to y=3x^2+0.6x-3 at... (answered by Alan3354,nerdybill)

Find the tangent line equation for the function f(x)=(2x+1)(x^2-3) at the point... (answered by Alan3354)

Find the equation of a tangent line at a given point Y=inx^2/3 points(-1, 0) (answered by ikleyn)

(x-3)^2 +(y-2)^2=16 find the equation of the tangent line at the point... (answered by greenestamps,MathLover1)

find an equation of the tangent line to the curve at the given point y=sqrt 1+x^3... (answered by Fombitz)

Find the equation of the tangent line for f(x)=3x^2-x at the given point... (answered by tommyt3rd)

Find the equation of a tangent line to the function y={{{1/x^3}}} at the point (2,1/8) (answered by solver91311)

Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the point (answered by richard1234)

Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1) at the... (answered by Fombitz)