Math(Please check)
posted by Hannah
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?

helper
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
Respond to this Question
Similar Questions

MATH
I need to simply this equation, but I got stuck. h/(4sqrt(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? 
Math (Calculus 121)
The derivative tells you the slope at any point. df/dx = 8 x^3  12 x When x = 3, the slope is m = 8*27  36 = 180 and the equation of the tangent line is (y  228) = 180*(x  3) y = 180 x  540 + 228 = 180 x  312 wow, that was absolutely … 
VariationQuestions
I have some questions that I don't understand and need to be checked please? 
Calculus again
Find the equation of the tangent to y=2xe^x at the point where x=0 So I found the first derivative by doing the sum rule and product rule. I got e^(x)(x1) Then I found the slope by substituting 0 for x and got 1. Then I found y … 
mathInverse functions
f(x)=4x2 & g(x)=5x6. Find (f*g) and state domain. f(x)x^21 what is the equation for f^1(x)? 
Math(Please check)
What is the difference between the actual increase in profit as production increases from 5 to 6 units, and the marginal profit at a production level of 5 units where the profit function is given by p(x)= 3x^2  5x + 2 First I plugged … 
Calculus derivative
find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)(x^2)(1)/((x+10))^2 How do I get the slope? 
Please check my Calculus
1. Which of the following describes the behavior of f(x)=x^3x A. Relative maximum: x=0 B. Relative maximum: x=(1/sqrt(3)); Relative minimum: x=(1/sqrt(3)) C. Relative maximum: x=(1/sqrt(3)); Relative minimum: x=(1/sqrt(3)) D. Relative … 
math
Find the equation of the tangent line to the graph of f(x) = 2x − 6/x + 1 at the point at which x = 0. (Let x be the independent variable and y be the dependent variable.) I got this question wrong. I thought the answer would … 
Calculus check 1 questiom
Determine the equation the tangent line on curve 4e^x on (0,4). Since derivative of 4e^x =4e^x, then I plugged in 0 for X and the slope I got was 4. Then I wrote the equation and got y=4x +4