29 Answered Questions for the topic Tangents And Derivatives

09/24/18

#### Calc 1 Help! For a certain graph y=f(x) the tangent line at the point (2,f(2)) goes through the points (3,2) and (5,-4). Find f(2) and f'(2)

I am unsure of how to do this problem or even set it up. I didn't know whether to find the slope of the two points or not and was wondering if one of you all could help me. I would really...
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#### equation to tangent line

Find the slope and an equation of the tangent line to the graph of the function f at the specified point.f(x) = √x + (1/√x); (25,26/5)
slope=equation y =

#### Tangent line is horizontal

Let f(x) = x3 − 4x2.
Find the point(s) on the graph of f where the tangent line is horizontal.(x, y) =____________ (smaller x-value)(x, y) =____________ (larger x-value)

#### Find slope of tangent

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line.
f(x)=9/2x at (1,9/2)
m=_______
y=_______

02/01/18

#### Calculus, where tangent line is horizontal

Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.)
f(x) = (x)/ (x^2 + 4)

#### Find exact equation of tangent line and normal line

find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)

Tangents And Derivatives Equations

04/09/17

#### Equation for the tangent line

Suppose f(1) = 4, and the tangent line to f at x=1 goes through the point (0,2). Find an equation for the tangent line to f at x=1.

#### Find the slope of the tangent to the curve y^2=((x^2)/(xy-28)) at (8,4)

the problem is stated as above. I'm just not sure where to start.

Tangents And Derivatives Calculus 1

09/26/16

#### Find k so that the line y = 3x-4 is tangent to the graph of f(x) = x^2 + kx.

I got k = 7, -1 using substitution on 2x+k = 3 and x^2 + kx = 3x - 4.
Is this correct?

Tangents And Derivatives

08/18/16

#### Geometry, circles with tangents

i am grading a test for my son, and confused on a problem, in geometery the question is a picture of a circle middle point p two tangent lines point x with 100, they want the answer for x, not...
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#### Simplifying a function to get a tangent line

In the middle of solving this implicit function/using implicit differentation to find its tangent line, this is what I have so far:
Original function: y^3+x^3-2xy=8 (find tangent line at...
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04/21/16

#### Finding two part derivative/tangent line

So I'm supposed to graph the given function at the tangent line at the given point, which I know how to do with an explicit/one part function but not an implicit/two part function.The function...
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Tangents And Derivatives

01/31/16

#### using f(x)=1/sqrtx, find a tangent line that is parallel to x+2y+6=0

I can get most of the way through this problem. I know the tangent line is y=-1/2x+3/2. I know it intersects the function at (1, 1). I get stuck when trying to prove it. using the...
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Tangents And Derivatives

10/05/15

#### Use the definition of the slope of a tangent line to find equation for the slope of the tangent line to the graph of f(x) = 2x^2+1 at any point c

Use the definition of the slope of a tangent line to find equation for the slope of the tangent line to the graph of f(x) = 2x^2+1 at any point c

Tangents And Derivatives

10/05/15

#### Use the definition of the slope of a tangent line to find the slopes of the tangent lines to the graph of f(x) = -3x^2 at the points (0,0) and (-1,-3)

Use the definition of the slope of a tangent line to find the slopes of the tangent lines to the graph of f(x) = -3x^2 at the points (0,0) and (-1,-3)

05/07/15

#### Show that when r changes by ?r; the change in the acceleration due to gravity, g; is given by ?g ˜ -2g ( ?r / r)

The acceleration due to gravity, g; is given byg = GM / r2 ;
where M is the mass of the earth, r is the distance from the center of the earth,and G is the universal gravitational constant.
Show...
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04/30/15

#### NEED ANSWERED ASAP Derivatives of exponential functions

Determine the coordinates of all points at which the tangent to the curve defined by y=x2e-x is horizontal

04/19/15

#### Find the derivative of the following functions: d^2 / dx2 (x sin x)

Find the derivative of the following functions: d^2 / dx2 (x sin x)

04/19/15

#### Use linear approximation and differential to approximate: sin 31`

Use linear approximation and differential to approximate: sin 31`

04/19/15

#### A particle moves in a straight line from its initial position so that after t seconds, it distance is given by s = t^2 + t feet from its initial position.

(a) Find the average velocity of the particle over the interval [1; 3] seconds.(b) Find the instantaneous velocity of the particle at t = 1 second.

04/19/15

#### let fx = 2 / (3-x)

(a)Find the slope of the tangent to the graph of f at a general point x0 using the definitionof limits.(b) Use the result in part (a) to find the slope of the tangent line at x0 = 1:

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