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29 Answered Questions for the topic Tangents And Derivatives

Tangents And Derivatives Calculus Slope Intercept Form

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... more
Tangents And Derivatives Calculus Slope

02/11/18

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 =
Tangents And Derivatives Math Calculus

02/11/18

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)
Tangents And Derivatives Math Calculus

02/11/18

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=_______
Tangents And Derivatives Tangent Graph Tangent

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)
Tangents And Derivatives Ellipses Tangent

09/21/17

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 Mathematics Differentiation

07/10/17

Finding tangents

Show that 3x + 4y + 25 = 0 is a tangent to the circle x^2 + y^2 = 25
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. 
Tangents And Derivatives Slope Tangent

03/06/17

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... more

07/02/16

is there any horizantal tangent line in this function?

y=x^√x
Tangents And Derivatives Calculus Derivatives

07/02/16

is there any horizantal tangent line in this function?

y=x^sqrtx
Tangents And Derivatives Calculus Algebra

04/22/16

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... more
Tangents And Derivatives Calculus Tangent Graph

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... more
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... more
Tangents And Derivatives Derivative ^

12/03/15

Differentiation

Y=(sin5x)^2x  , find dy/dx
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)
Tangents And Derivatives Limits Derivatives

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... more
Tangents And Derivatives Coordinates Exponential Functions

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
Tangents And Derivatives Derivative Derivatives

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)
Tangents And Derivatives Derivative Derivatives

04/19/15

Use linear approximation and differential to approximate: sin 31`

Use linear approximation and differential to approximate: sin 31`
Tangents And Derivatives Derivative Derivatives

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.
Tangents And Derivatives Derivative Limits And Derivatives

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:
1

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