3. If f(3) = 2 and f'(3) = -4, find an equation of the tangent line when x = 3. %3D %3D

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: 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

A: To find the slope we find y' at x=0, y=0

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

A:

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: y = 7x + e5x ; (0, 1) %3D

A:

Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

A:

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

A:

Q: 3. Find the equation of the tangent line to the curve y = x³ at x=1.

A:

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

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 equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

A:

Q: 2 at the point ( 2, 1 Find an equation of the tangent line to the graph of y = e y =

A: we have to find the equation of the tangent line to the given function. We know that slope of the…

Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

A:

Q: If –5 + y³ = xy² – x and it is known that find all coordinate -2xy+3y2 > 2 and the line tangent to…

A: consider the curve         -5+y3=xy2-x  ⋯⋯⋯⋯⋯ (1)  and             dydx=y2-1-2xy+3y2  To find all…

Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

A:

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

A:

Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: Find the equation of the tangent line at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

Q: Find the equation of the tangent line to y = 3e at x 7.

A:

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

A:

Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

A:

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,

Q: Find the slope of the equation of the tangent line to the curve at (0,1). 2x y = e2* cos IX

A:

Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

A:

Q: 2. Find the equation of the tangent line to y at x = -5.

A:

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

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x2 −…

A:

Q: Find an equation of the tangent line to y = 5 sin(x) at x 4

A:

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

A:

Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

A:

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

A:

Q: Find an equation of the tangent line to y = 7 tan(x) at x = 4

A: The given function is y=7 tan(x) at x=5π4

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: If 2x2 + 5x + xy = 4 and y(4) = -12, find y (4) by implicit differentiation. y (4) = Thus, an…

A:

Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

A: