Question

In: Math

Find the equation of the tangent line at x=2 to the graph of y= x^2-x-7 Write...

Find the equation of the tangent line at x=2 to the graph of

y= x^2-x-7

Write your answer as a simplified slope-intercept equation y=mx+b.

For example   y=7x-8

Solutions

Expert Solution

The equation of tangent to the given curve at x = 2 is y=3x-11 which is in slope intercept form (y=mx+b) .


Related Solutions

1. Find an equation of the tangent line to the graph of x^2 + 4xy +...
1. Find an equation of the tangent line to the graph of x^2 + 4xy + y^2 =13 at point (2,1), by using implicit differentiation.
Write the equation of the tangent line to the graph of ?(?) = (2)/(3−?) at the...
Write the equation of the tangent line to the graph of ?(?) = (2)/(3−?) at the point where x = 4. You must use the limit definition for any derivatives and show each process by step. Use proper notation.
For the equation x^2+xy+y^2=0, find the equation of the normal to the tangent line at the...
For the equation x^2+xy+y^2=0, find the equation of the normal to the tangent line at the point (−3,−1)(-3,-1).
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=5sin5θ at θ=π/3.
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=2sin5θ at θ=π/3.
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=5sin5θ at θ=π/3
write the equation of a line tangent to x^2y^2+y^3=2 at (1,1)
write the equation of a line tangent to x^2y^2+y^3=2 at (1,1)
1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x=...
1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x= π/3. 2. Determine the point(s) where the tangent line to y= 2sinx-4x has a slope of-3 in the domain 0≤x≤ 2π. b) Find the equation of the tangent line.
1. Find the equation of the tangent line to the graph of ?(?) = 1 +...
1. Find the equation of the tangent line to the graph of ?(?) = 1 + ? + ???? at ? = 0. 4. 2. Find the equation of the tangent line to the graph of ?(?) = (?+1)/ (?−1)at ? = 0. 5.
Find the equation of the tangent line to the curve y=5sec(x)−10cos(x) at the point (π/3,5). Write...
Find the equation of the tangent line to the curve y=5sec(x)−10cos(x) at the point (π/3,5). Write your answer in the form y=mx+b where m is the slope and b is the y-intercept.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT