Le+ f (x) = In (x?)find the equati on Ofthelinetangent to the graph of fat(3, In(9))(2 Find the point (x,,f(x,)) on thetangınt linecUrvey=f(x) whosepasses though (o 2).

Answered: Image /qna-images/answer/f999fb8d-1fd2-4a6f-a4eb-efc48ccccd38.jpg

Answered: Let f (x) = In (x?) find the equati on…

Let f (x) = In (x?) find the equati on oE the line tangent to the graphof f at (3, In(9)) (2) Find the point (x,fCx)) on the curve 4= f(x) whose tungint line passes though (o 2).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes…

Q: 5. Show that the equation of the tangent to the curve y = Inx + kx at x = 1 always passes through…

Q: 8z 4. Assuming that z is a differentiable function of x and y, use implicit differentiation to find…

Q: 30. Determine the equation of the tangent to y= 2+ cos 2x at x

Q: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

Q: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given : y=lnx3-7

Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

Q: 9. Find the slope of the tangent line to the graph of f (x) = sin (cos 2x) at x = 1 A. -2(sin 2)(cos…

A: we have to find the slope of the tangent line to the graph of fx=sincos 2x at x=1

Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

Q: Find the question of the that is tangent to the curve y=-3 cos2x at x= n/6. Express with exact…

Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: Tangents are drawn from the origin to the curbe y=sin x.Prove that their points of contact lie on…

Q: Tangents are drawn from the origin to the curbe y = sin x.Prove that their points of contact lie on…

Q: 1. Find the equation of the tangent line on tan-'(x²y) = cos(;x²) + xy². at (V7, 0).

A: Here is the solution

Q: Find the points on the interval [0, 2π) where the graph of the function f(x) = 2 sin(x) + sin2(x)…

A: Given:f(x)=2sin(x)+sin2(x), [0,2π)

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: Find an equation of the tangent line to the graph of the function y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: Find an equation of the tangent line to the curve at the given point. y = 3ex cos(x), (0,3) %3D

Q: 5) Find an equation of the tangent line to the curve y = sin²(x) cos(x) at the point (,0).

A: Slope of tangent,m = dy/dx Equation of tangent to curve at point (x,y) y -y1 = m (x -x1 )

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

Q: 3. Find the equations of the tangent and normal lines to the curve f(x) = /2* +cos(x*) at(0,/2).…

Q: x2y2=x2-y2

A: Using method to find locus we get

Q: Find an equation of the tangent line to the curve at thegiven point.

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find value of y at x=0.

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

Q: (ii) Hence, by using Leibniz Rule for Differentiation Under the Integral Sign, compute the value of…

A: Leibniz Rule for Differentiation under integral sign:- ∂∂t∫atbtfx, tdx=∫atbt∂f∂tdx + fbt, t∂bt∂t-…

Q: Find the equation of the tangent to y-cos 2x at the point 0. Oal y--2- Ob) y- 2x+ O) y--+1 O d)…

Q: FInd the length of the curve y= 2ln ( sin(x/2)) from x = π/5 to x = π

A: Formula to find the length of the curve is ∫ab1+dydx2dxGiven y=2ln(sinx2) Lets find out dy/dx by…

Q: Find an equation of the tangent line to the curve at the given point. y = 6x + 4 cos(x), P = (0, 4)…

A: the equation of the tangent line at (x0 , y0) is y−y0 = m (x-x0)

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

Q: Determine the points in the interval [0, 2π) at which the graph of the function f(x) = √2x + 2…

A: We find point of tangent on given curve.

Q: Find the equation for the tangent line to the curve f(x)=cos(x)-2sin(x) at the point (0,1). O y=-x+1…

Q: (6) Find the tangent line to the graph of +y° = 6xy at the point (3, 3) Use implicit…

A: Equation of tangent line with slope m and at point (x1,y1) (y-y1) = m(x-x1).

Q: 3. Find the equation of tangent line of the function f (x) = e" /x at the point æ 1. Write in the…

A: Given, The function fx = exx We have to find the equation of the tangent line at the point x =…

Q: 8. Find a parameterization of the tangent line to r(t) = (cos(t), sin(2t)) at the point

Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

Q: Find the slope of the tangent line to the curve 2 sin(z) +4cos(y) –- 3 sin(z) cos(y) + z = 7x at the…

A: The objective is to find the slope of tangent line to the curve at the point (7π, 3π/2).

Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

Q: 6. Find the equation of the tangent line to f(x)= = tan (2x) at the point (n/8, 1).

Q: 7. Find all x-coordinates where the tangent line to y = f(x) = sin(2x) – cos?(2x) is horizontal. -

Q: Find the slope of the tangent line to the curve 5 sin(z) + 4 cos(y)- 5 sin(z) cos(y) + z = 3x at the…

A: Consider the curve 5sinx+4cosy−5sinxcosy+x=3π

Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

Q: 1- Find the equation of the tangent to the curve y= 2 sin x+ cos2x at the point x = n. 2- Find the…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the slope of the tangent to the curve y=(cos 3x)/( 2-ln(2x+1) ) at x=0

Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Le+ f (x) = In (x?)
find the equati on Of
the
line
tangent to the graph of fat
(3, In(9))
(2 Find the point (x,,f(x,
)) on the
tangınt line
cUrve
y=
f(x) whose
passes though (o 2).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4
Find the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the value of the x-intercept b.) Circles with center on the y-axis c.) Circles with center on the line y = x, and passing through the origin
on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0
The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find h( -1) and h' ( -1).
Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)
Determine the points in the interval [0, 2π) at which the graph of thefunctionf(x) = √2x + 2 cos(x)has a horizontal tangent line. Give both the x and y coordinates of the point(s)
tangents are drawn from the origin to the curve y=sin x.Prove that their points of contact lie on the curve x2y2=x2-y2
(a) Find the equation of the tangent line to the curve 8x2y3 - 5x2 + 7y3 = 10 (x-3y), at the point (2,-2). (b) Given that f (x,y) = 6x2y3 - cosx + 5y2 - siny + 10x2 - e-3x ; find fxx ; fyy ; fxy ; fyx
Find the slope of the tangent to the graph of f(x) = x^2 + 1 at the point (2, 5). Use the method of finding the slope of the secant between (2, 5) and a neighboring point, and moving the neighboring point closer and closer to (2, 5). What is important here is the method, not the answer, so show your work very clearly. A diagram is needed, but you do not need to draw all your secant lines if that becomes difficult.
Find the equation of the tangent line in the given place. complete solution 1.) Tangent to the parabola z= x2+3y2 , x = 1, at point ( 1, 2, 13) 2.) Tangent to the curve z2 =2xy + x2, z= 3, at the point ( 1, 4,3)
13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of -1 that occurs at x=11.
Determine the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the value of the x-intercept b.) Circles with center on the y-axis c.) Circles with center on the line y = x, and passing through the origin