30 Answered Questions for the topic Tangents And Derivatives

Tangents And Derivatives Calculus Slope Intercept Form Functions

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 Tangent Graph

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 Tangent

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 Slope

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 Area Of Triangle

11/16/17

#### A diagram shows the graph of y=4+4x-x^2. The tangent to the curve at the point (3,7) cuts the axes at A and B. work out the area of triangle OAB answer

A diagram shows the graph of y=4+4x-x^2. The tangent to the curve at the point (3,7) cuts the axes at A and B. work out the area of triangle OAB answer
Tangents And Derivatives Ellipses Tangent Derivatives

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 Derivatives

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 Factoring

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 Tangent

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 Derivative Proof

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 Derivatives

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 Derivative Proof

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 Derivative Proof

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 Derivative Proof

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.

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