5. Find all x-values in which your function has horizontal tangent lines, f(x) = 2 sin x + x. given 0< X< 2t.

Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

A: Rtyu

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: 1. Find the slope of the tangent line for the following function at indicated point: x² – 1 S(x) =…

A: Given function: fx=x2-1x+1 Simplifying the function: fx=x2-1x+1       =x2-12x+1Using: a2-b2=a-ba+b…

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

A:

Q: Find the equation of the tangent line of the function at the given point. 3x+2 9. f(x) = x-1 (0,-2)…

A: Differentiate at given point and then use equation of tangent line

Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

A:

Q: Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of…

A: Ta which value of x the slope of tangent line the greatest.

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: topic- equation of tangent line to the function at point

Q: Find all value of x=c, so that the tangent line to the graph of f(x) at (c,f(c)) will be horizontal…

A:

Q: Find f(x) if f(0) = 0 and the tangent line at (x, ƒ (x)) has the slope x(x² + 2}°.

A:

Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

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. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

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

A: Given curve:

Q: Find f(x) if f(1) = -1 and the tangent line at (x, f(x)) has slope 3ex+7 f(x)= ?

A: Given:

Q: 2. Find the equation of the tangent line for the function 2 f(x) = x2 + - 3 at a = -2

A:

Q: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: 19 Find all x-values where the tangent line is horizontal for the function v(x) = x3 − 12x + 10

A:

Q: 2n 5) h(x) = tanx, x = 3

A:

Q: Find the equation of the tangent line to f(x) = (x^2) − 4x + 1 at (x=3).

A: We first find f'(3) So the slope is 2

Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

A:

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

A:

Q: Find an equation of the tangent line to the graph of the given function at the specified point. x² –…

A: We have to find the equation of the tangent line

Q: Find the equation of the tangent line to the function f(x) = ln (7 – 4x) at x = 1. (Use symbolic…

A: Slope of the tangent is obtained by dy/dx

Q: Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x²…

A:

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

A:

Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: Find the slope of the tangent line to the function f(x) = tan(cos(ax)) at x =π/2a. Leave your answer…

A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

Q: Find the equation of the tangent line to the graph of f(x)= x ln(2x+3) at the point (-1,0).

A:

Q: Find the equation of the tangent line to the function f(x) = ln (22 – 7x) at x = 1. (Use symbolic…

A:

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

A:

Q: Determine the location of any horizontal tangent lines to the graph of f ( x ) = 2 sin ⁡ x − x on […

A:

Q: 10. What is the equation of the slope of the line tangent to the function, f(x) = * 2 X_sin x´sin(x)

A: topic - equation of tangent of line

Q: Find the equation of the tangent line to the graph of the function f(x) = sin ( 11 √x ) at the point…

A: The function is fx=sin11x. Find the slope of the tangent line at π2,0 by taking the derivative of…

Q: 3) Find the slope of the curve defined by f (x) = x 3 sin x at x =r.

A: Solution -  Slope of the curve is given by df(x)dx, We have the function f(x), f(x) = x3sinx, Now…

Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

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

A:

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

A:

Q: 5-Find the equation of the tangent to the function y = sin x at x = 1/4

A:

Q: (b) Find the equation of tangent and normal to the curve f (x) |2 – sin(2x) at x 4

A:

Q: Find the equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1…

A:

Q: 1. Find the equation of the tangent line to the graph of f (x) = x²e-* at x = 1. %3D

A: The given function is: fx=x2e-x In order to find the slope of the given function, find the…

Q: 12. Find the equation of the tangent line to the given function at the point (0,1). f(x) = In(3xe¬x)

A:

Q: Find the equation of the tangent line to the function f(x) = ln (13 – 4x) at x = 1. (Use symbolic…

A: We have to find the equation of tangent of ffx=ln13-4x at x= 1 at point x = 1

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

A:

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

A:

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.