3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the equation of the line tangent to the graph of f(x) = 4x arcsin(x) at the point with xo = 2

Q: 2. Use Desmos to graph the function y3 + yx² + x² – 3y² = 0 and estimate the slope of the tangent…

A: Given,          The function is y3+yx2+x2-3y2=0.

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

A:

Q: Find an equation of the tangent line to the graph of the function                      y = arctan…

A:

Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

A:

Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: 7. Use implicit differentiation to find the slope of the tangent line to the graph of x +y = 19 –…

A: Here we will find the slope of tangent line to the given graph,

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) =√x at (1, 1).

A:

Q: 2 Find the equation of the tangent line to the graph of f(x) = at The equation of the tangent line…

A:

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

A:

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: Find the slope intercept equation of the tangent line to the graph of y = Vx-1 at x2+1 the point…

A:

Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: Find an equation of the tangent line to the graph of the function                    y = sinh(1 −…

A: Given curve:

Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 2x…

A:

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

A: We tale ln on both sides then differentiate both sides with respect to x

Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

A:

Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: Find the derivative of the function (slope of the tangent) using the definition at the point Xo=9…

A:

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find an equation of the tangent line to the graph of the function at the given point. y = sinh(25 –…

A:

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

A:

Q: 1. Use the limit definition of the derivative to determine the derivative.2. Determine the equation…

A: We have to find derivative using limit definition of derivative and then find tangent line to f(x)…

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: 7. Use implicit differentiation to find the slope of the tangent line to the curve 3(28x + y)/2 = 5y…

A:

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

A:

Q: Question 7

A:

Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

A:

Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

A:

Q: 4. Use implicit differentiation to find the equation of the tangent line of the following functions…

A: To find the equation of the tangent line of the function 2x2-3y-3=2y4 at 2,1

Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

A:

Q: 7) Find the equation of the tangent line to the graph of f(x) = –sin(x) +3 at x = 4

A:

Q: 8) Using your derivative from the previous question, determine the equation of the tangent line at…

A:

Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

A:

Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

A: