Find the slope of the graph at
y=sqrt 2x^2 +1 at the point (2,3).

First I plugged 2 into the equation and got 3. Then the derivative of the equation is 4x and then I multiplied that by 3 and got 12. Is this correct?

1. y=sqrt 2x^2 +1 at the point (2,3).

No, you are not correct.

First, you need to find the derivative of,
(sqrt(2x^2 + 1))
dy/dx = 2x(2x^2 + 1)^(-1/2)

This is the slope of the tangent line at P.

Now plug in P(2,3)
2x(2x^2 + 1)^(-1/2)
2(2)(2(2^2) + 1)^(-1/2)
4(8 + 1)^(-1/2)
4 * (9)^(-1/2) = 4 * 1/(9^(1/2))= 4/3

posted by helper

## Similar Questions

1. ### math-Inverse functions

f(x)=-4x-2 & g(x)=5x-6. Find (f*g) and state domain. f(x)-x^2-1 what is the equation for f^-1(x)? f(x)=3x+2, find f(f^-1(14)). f(x)=4x+7 and g(x)=3x-5 find (f*g)(-4) f(x)=sqrt x+3 what is equation for f^-1(x)? Graph y=sqrt x-2 +5
2. ### CAL

The slope of the tangent line to the graph y= x^3/3-x at the point (1, -2/3) So I plugged this into y= and I found the (1,-2/3) point but I don't know what to do next, can you help?
3. ### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation
4. ### Algebra

graph the equation x-3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x-1.3y=3.64 graph the equation using slope and y-intercept: y=10/7x +4 graph using slope
5. ### Physics

can someone help i'm stuck on two questions??? 23. On a velocity-time graph, when is the object not moving? when the slope is a straight line rising to the right when the slope is a straight line falling to the right when the
6. ### physics

I'm making a graph of force vs stretch for springs. I have 7 data trials with the k (F = kx) ranging from 28 to 31, average is 29.6. Now I need to find the slope and write an equation for the graph. If I use the first two points
7. ### MATH

I need to simply this equation, but I got stuck. h/(4-sqrt(16+h)) = y First, I multiplied (4+sqrt(16+h)/(4+sqrt(16+h) to both sides, and I ended up with h(4+sqrt(16+h)/-h. Is this correct? (I tried to graph both equations to see
8. ### calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4.
9. ### Math (Secant Lines)

Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? -Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for x-values 1, 3, and 5. -Find the slope of each secant line -Use the results
10. ### Calculus

The point P(4,2) lies on the curve y=x^1/2 If Q is the point (x,x^1/2) use your calculator to find the slope of the secant line PQ for the following values of X: 1)3.5 2)3.9 3)3.99 4)3.999 5)4.5 6)4.1 7)4.01 8)4.001 i plugged

More Similar Questions