# Calculus

posted by .

Given f(x)=x+sqrt(x)
calculate the tangent line at the point (9,12)

y=___?__(x-9)+12

• Calculus -

you have a point: (9,12)
and a slope: y'(9) = 7/6

so the line is

y-12 = 7/6 (x-9)

## Similar Questions

1. ### Calculus

Can anybody help me with this? Consider the surface xyz = 20. A. Find the unit normal vector to the surface at the point (1, 4, 5) with positive first coordinate. (___,___,___) B. Find the equation of the tangent plane to the surface
2. ### Calculus

I have a two part question that pertains to a curve (r(x)) and its tangent line at x=3. We are given that at x=3, r(x)=8. In order to find the slope of the tangent line, we are given another point (on the tangent line): (3.2, 8.5). …
3. ### Calculus

If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is (1.94,6.87), fill in the blanks below to complete the statements about the function g at the point B. g(___) = ______ …
4. ### Calculus

If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is (1.94,6.87), fill in the blanks below to complete the statements about the function g at the point B. g(___) = ______ …
5. ### calculus

Find the equation of the line tangent to the graph of the given function at the point with the indicated x-coordinate. f(x)=(4 sqrt(x)+7)/(sqrt(x)+2); text( ) x=4
6. ### calculus

given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
7. ### Calculus

Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)
8. ### Tangent Lines (2)-Calculus

find an equation of the line tangent to y= sqrt(25-x^2) at the point (3,4) i got y= x/8 + 29/8 this is wrong. but im not sure why. can you explain thank you
9. ### calculus

Find the slope of the tangent line to the curve (sqrt(4x+y))+(sqrt(3xy)) at the point (3,4) The slope of the tangent line to the curve at the given point is ?