Answered: The equation of a curve is given by… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 4T

See similar textbooks

Related questions

Question

100%

tutor 25 answer 14 only

dy
STANGENT LINE
The equation of a curve is given by f(x) = √2x-1.
a) Use the definition of derivative to find f'(x).
b) Find the equation of the tangent line to the graph of f(x) at x = 5,
15. Given g(x)=x+1-
a) Find g'(x) using the definition of derivative.
b) Hence, determine the equation of the tangent line to the function
at the point (2,3).
Answers:
(Ex in cos x) (2) (6-tanx)(e-3), ⇒ m = -12
d
-2x-3+x²
20
8x4x²20 20x² - 5x²
(2x+8)-2 in x
(2x + 5)
⇒m = -2
1-2 (1+x)
=
⇒
[1+ sin 2x )-2 cos 2x)-2 cos 2x (1-sin 2x)
(1-sin 2x)
⇒ M = 0
[In(x+1)-8] (3 cos 3x) - (sin 3x) (x+1)
"
[in (x+1) 81
⇒ y = x
116) y = -x
(2x-
12b) y =
13b) y =
14b) y =
150) = x
√√2x
113
- 2x + 5
-x + 6
X+
4b) y = - 10x + 2
M = 0.032
= -0.19
338

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of f^-1 at the point (7,3) in slope-intercept form.
How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points do these tangent lines touch the curve? Smaller x-value (x,y): Larger x-value (x,y):
equation of the tangent line to the curve at the given point. y = 2 + x3 , (−1, 1)
Find all points (x, y) on the graph of y = x2 −6 with tangent lines passing through the point (3, 2); then find the equation of the tangent line corresponding to the smaller x-value.
A function y = f(x) passes through the origin. If the second derivative y" = −sin (2?),determine the equation of the function. Show work to justify your answer. Prove or Disprove: the derivative of y=sinx+cosx/cosx s dy/dx = 1/(1+sinx)(1-sinx)
Implicit differentiation x2+y2=2, result is -x/y. Find the equation of the line tangent to the graph at point (1,1) using the results.
1. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (3x2 + 4y2 − x)2 (0, 0.25) (cardioid) 2. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3, √ 3, 1) (astroid)
derivative of arctan(2/x^2)
A. Use implicit differentiation to find the derivative: sin(xy)=x6 - y B. Find the equation of the line normal to x3y-2xy2=-4 at the point (-2,1)
Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate π/3. Use calculus to solve the problem. Show all the steps including the derivative.
using the equation f(x)= x^2+x find slope of tangent line f′(2) using the limit definition of a derivative and the tangent line at x=4
์(Applications of Differentiation) 5.3) Finding equation of tangent to the curve at x=0

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS