20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 = -V3.

Q: If the tangent line to y=f(x) at (4,2) passes tbroughthe point (0,1), find f(4) and f'(4)

A:

Q: 6. Determine the equation of the line that is tangent to f(x) = 4x – tan x where x =

A: The answer is found in step-2.

Q: Find the slope of the tangent line to the graph at the given point. (4 – x)y? = x³, (2, 2) Cissoid:…

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

A:

Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

A:

Q: Find the points on the given curve where the tangent line is horizontal or vertical. r = 1- sin 0

A:

Q: Find the equation of the tangent line to the curve y = IVI at the point (9, 27). %3D y = 9x(sqrt(27)

A:

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

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: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: If the tangent line to y=f(x) at (−2,0) passes through the point (9,7), find f(−2) and f′(−2).

A:

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

Q: If the tangent line to y= f(x) at (4, 3) passes through thepoint (0, 2), find  f(4 )and f'(4)

A:

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

A:

Q: If the normal to the curve y-f(x) at the point(3,4) makes an angle of Pi with the positive x-axis…

A:

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Estimate the slope of the tangent line to f(x)=tan(x) at the point x=5pi/4

A: f(x)=tan(x) at the point x=5pi/4

Q: For what values of x is the tangent line of the graph of f(x) = 6x + 18x² - 143x+ 18 rallel to the…

A: Explanation and solutions is given below....

Q: If the tangent line to y = f(x) at (5, 4) passes through the point (0, 3), find f(5) and f '(5).

A: Given that tangent line y = f(x) at (5, 4) passes through the point (0, 3).

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

A:

Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

A:

Q: Find the slope of the tangent line to the curve y = 3'¬^ at the point where X = 0. 2 In 3 00 O None…

A:

Q: Find the slope of the line tangent to f(x) = tan x at x=-. 4

A:

Q: Find the equation of the tangent line at (1, ƒ(1)) when f(1) = 11 and f'(1) = 4.

A: to find equation of tangent line

Q: find the equation of the tangent line at the given point x=2cost+3 y=3sint-2 at the point given by…

A:

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

A:

Q: Find the slope of the tangent line to the curve 5 sin(æ) + 3 cos(y) – 4 sin(x) cos(y) + x = 7n at…

A:

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…

A:

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

A:

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

A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

Q: The tangent line to the graph of y = In(x² – 1) .2

A:

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 two integer values of b so that y = -x +b is an equation of a tangent line to the graph of y =…

A:

Q: If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find (3) and r(3). (3) =…

A: In this question, we need to find f(3) and f'(3).

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

A:

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

A:

Q: Find the slope of tangent to the curve y=sin 4x +3x at (5, 35). None O 7 O 3

A: Note :- Steps to find slope :- 1) Find the first derivative of f(x). 2) Plug x value of the…

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

A:

Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

A:

Q: Find the point on the graph of f(x)=ex for which tangent line to the graph there passes through the…

A:

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

A:

Q: If the tangent line to y = f(x) at (6, 7) passes through the point (0, 5), find f(6) and f'(6)

A:

Q: Find the slope of the tangent line for the curve r=sin⁡2θ at the point where θ=π/4.

A: Given,

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

A:

Q: If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2), find f' (5)=

A: Given problem:- If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2) Find…

Q: The slope of the tangent line to the graph of the function y = 7VI - 3 at (9, 18) is O -2.00 O 1.83…

A: Solution