Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

Q: The slope of the tangent line to the graph of y = In(xy) at the point (e, 1) is :Select one -e-l.a…

A: Given equation is Differentiating both sides with respect to x, we get.

Q: Find the equation of the tangent line to the curve J (x) = ta n(x) in point-slop %3D at x =

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

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Q: The tangent line to y=f(x) at (2/(2) is line through given point whose slope is equal to (a) f (a)…

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Q: ind the equation for the tangent lin to y- fcx) at the specified point. fcx) where x=1 x2

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Q: Find the tangent line to g (x) 16 4T at z = 4.

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Q: There is only one point with a horizontal tangent line to the graph of the curve y = x + cos x in…

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Q: Find the equation of the tangent line to f at x = a. f (x) = x2 + x, a = 1

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Q: Find a such that the tangent lines to y = x3 − 2x2 + x + 1 at x = a and x = a + 1 are parallel.

A: Consider the function: yx=x3-2x2+x+1 Slope of a tangent at any point of a function is given by…

Q: Find the slope of the tangent line to the curve below at the point (4, 7). 2x + 3y + /2xy =…

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Q: Find the equation of the tangent line. to y=f(x) at point P. %3D

A: We have to find the equation of tangent to y=f(x) at P.

Q: Find the exact equation (without decimal approximations) of the tangent line in the form y = mx + b…

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Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

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Q: Prove that the point of the tangent intercepted between the axes at any point on the curve x…

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Q: Find the equation of the tangent line to the given function at z = a. w(2) = tan (3x) +x, a=0 3 !!

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Q: Show that the tangent line to the graph of y = ex at the point (a, ea) is perpendicular to the…

A: Given: y=ex  ……1 Tangent line, with slope say m1, of above equation passes through a, ea.   Also,…

Q: The slope of the tangent line x = e*, y = In e3x

A: Let's find.

Q: Find an equation of the tangent plane to z=ln(2x+3y) at the point (1, 1, ln5).

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

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Q: Find the equation of the tangent line of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: Find a > 0 such that the tangent line to the graph of f(x) = x 2e-x at x = a passes through the…

A: fx=x2e-x Differentiating with respect to x, we get f'x=dx2dx·e-x+de-xdx·x2=2x·e-x-e-x·x2=x e-x2-x…

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: What is the slope of the tangent line to cos(æ – y) = xe" at the point (0, ). O 1 -2 O None of these…

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Q: Find the eguation for the tangent line to y = fcx) at the specified point. fcx)= xe-X ; where X=O ノ

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Q: ind the equation of the tangent line to y = f(g(x)) at x = 1. %3D

A: We have given two graphs of two functions f(x) ,g(x). We have to find the equation of the tangent…

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

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Q: Use the tangent line approximation to approximate the quantity below. -2 In(1.03) + 4

A: Given -2ln(1.03)+4  Let the equation be  f(x)=-2ln(x)+4 Differentiate with respect to x  f'(x)=-2/x…

Q: Find the slope of the tangent line to f(x)=ex at the point (1, e).

A: Given,         The slope of the tangent line to fx=ex at the point 1,e.

Q: Find the equation of the tangent line to y= sech? (x) . = In(3). at x

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Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

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Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

Q: Find the equation of the tangent plane to z = In(x³ + 1) + yª at the point (0,3, 81).

A: We have to find equation of tangent plane at (0,3,81).

Q: The tangent line to y=f(x) at (1,-3) passes through the point (3,9). Compute the following: f(1)=?…

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Q: . Find the slope of the tangent line at the point P of (x² + y² )° = 4xy; P(1,1).

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Q: The slope of the tangent line to the graoh of y = In x at x = a approaches infinity as a 0t. Select…

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Q: Find the tangent line to y = f(x) at the point (0,–5).

A: We have to find the equation of tangent from the curve f(x) and point

Q: Show that the sum of the x-intercept and y-intercept of any tangent line to the curve Va+ Vg = Vc is…

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Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: . Find the slope of the tangent line to sin(z – x) + y° cos.x = y at( А. 4 В. -1 С. О D.

A: This is the final solution of given question.

Q: ind the iquation of a tangent line of to the graph of at the pont (2, f).

A: Let's find.

Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

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Q: Find a formula for the tangent line to f(x) = x² – x at x = 0

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Q: Find the slope of the tangent line of y= e+ xy at (1,0) .

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Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: tb is the equation af the tangent line f cx) = x² - x If m X to the guaph of at x =1 then m= b=

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Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: