What is the slope of the line tangent to the graph of y= tan(2x) at x= -1? The slope of the tangent line is

Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

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Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: Find the equation of the tangent line to the graph y=6e^(x) at x=4 Tangent Line: y=

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Q: what is the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2^x) at x =…

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Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: Find the equation of the tangent line to the graph of y(x) = 12( - ;)' at æ = 2. Equation of the…

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Q: /4 Find an equation of the tangent line to the curve of y = sin2 x tan x at x 1

A: Consider the given curve.

Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: Find the slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

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Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: Find the slope of the tangent line to the graph of y = tan¬1 () at x = 4

A: The tangent of a curve at a point is a line that just touches the line at the given point such that…

Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

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Q: Can you please help me out

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Q: Find the slope of the tangent line to the sine function at the origin. y y = sin(3 x)

A: Slope of tangent line to the curve is given by first derivative of curve at given point .

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4…

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Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

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Q: Find the equation of the tangent line to the curve y sin(sin x) at the point (7,0).

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Q: Find an equation of the tangent line to the curve y=9^(tan(9x)) at the point (0,1)

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Q: Find the equation of the tangent line to the graph of y = ex at x = 0. Then, graph the function and…

A: The given function is y=exwe have to find tangent line at x=0

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Find the equation of the line tangent to the graph of f at the indicated æ value. y = 4 sin¬1 2x, æ…

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Q: The second derivative of a curve C at any point is y" = sec?x tanx. If 2 is the slope of the tangent…

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Q: Find the slope of the tangent line at x = 6. for function f(x) = x?tan(2x) %3D

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Q: Show that no tangent line to the graph of f (x) = tan x has zero slope. What is the least slope of a…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin x

A: Given,          The equation of the tangent line to the graph of the function y=2arcsinx…

Q: Estimate the slope of the tangent line to f(x) = tan(x) at the point x = 9(pi)/4

A: Given :f(x) = tan (x)To determine the slope of th tangent line to f(x) at x = 9π4

Q: Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x³ + at the point…

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Q: Please figure out the equation for the tangent line to the graph of the function at the point (9,…

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: At what point on the curve y = sinh x does the tangent line have a slope of 1?

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Q: Find the slope of the line tangent to the graph of y = tan-1 x at x = -2.

A: Given: y=tan-1x at x=-2

Q: At what point of the curve y = cosh x does the tangent have slope 1?

A: Given curve is: y=coshx

Q: What is the slope of the line tangent to the graph of y = tan(-3x) at x= 2? The slope of the tangent…

A: Explanation of the answer is as follows

Q: At what point will the tangent line to the curve y = ln x + 2 tan−1 x be horizontal?

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Q: Find the equation of the tangent line to the graph of the equation sin-(x) + sin-(y) at the point

A: To find the equation of tangent line to graph of the equation given below,

Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the equation of the tangent line to the graph of y = (tan^-1 2x) when x = 1/2

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Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: Find all points on the graph of the function f(x) = 2sin(x) + sin²(x) at which the tangent line is…

A: To find the points at which tangent line is horizontal, we must find slope of horizontal line. The…

Q: What is the slope of the line tangent to the graph of y = tan (3x) at x = 1? The slope of the…

A: The given equation is y=tan-13x at x=1. The objective of the question is determine the slope of the…

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Find an equation of the tangent line to y 7 tan(x) at x =

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Q: Find the slope of the line tangent to the graph of y = sin-1 x at x = 0.

A: y=sin-1(x)

Q: Estimate tan (2) using the tangent line to the graph of y = tan(x) at x =

A: Given:            y=tan(x) at x=3π4.

Q: What is the equation of the tangent line to the graph of y= sin?x at x =

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Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.