calculus
posted by Anonymous .
equation of the tangent line to the curve y = 2x²x+10 at the point (1,13)

dy/dx = slope = m = 4x1
m = 4(1)  1 = 5
so
y = 5 x + b
find b
13 = 5(1) + b
b = 8
so
y = 5 x + 8
Respond to this Question
Similar Questions

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
Consider the curve defined by 2y^3+6X^2(y) 12x^2 +6y=1 . a. Show that dy/dx= (4x2xy)/(x^2+y^2+1) b. Write an equation of each horizontal tangent line to the curve. c. The line through the origin with slope 1 is tangent to the curve … 
Calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2+7 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
Determine the equation of the tangent line to the curve y = 2x²1 at the point where x = 2 
Calculus
If F(x)=x^3−7x+5, use the limit definition of the derivative to find FŒ(5), then find an equation of the tangent line to the curve y=x^3−7x+5 at the point (5, 95). FŒ(5)= The equation of the tangent line is y = x … 
Calculus
Use the fourstep process to find the slope of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 2x22x+1 (1, 2) 
AP AB Calculus
Linear approximation: Consider the curve defined by 8x^2 + 5xy + y^3 = 149 a. find dy/dx b. write an equation for the tangent line to the curve at the point (4,1) c. There is a number k so that the point (4.2,k) is on the curve. … 
calculus
find an equation of the tangent line to the curve at the given point. graph the curve and the tangent line y=x/x1 at (2,2) ) 
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?