Find the points on the graph of f (x) = 12x − x3 where the tangent line is horizontal.

Q: Apply the Chain Rule to find the tangent line to f(x) = 4/2x – 6e²-*at x = 2

A: The given problem is to find the tangent line to the given function at given point x=2 Given…

Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x…

A: Solution: Two lines are parallel if they have same slope.

Q: What is the equation of the line tangent to * f(x) = 4x2 + 2x – 1 at x = 0

A:

Q: Find the line tangent to the graph of f(x) = x² + x +1 at xo = 2

A:

Q: Find the equation of the tangent line to the graph of f(x)=6xln(x+8) at x=-2

A: Given equation: To find the slope of the tangent line, find the value of the function's derivative…

Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

A:

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

A:

Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.

A: Given function

Q: Find an equation of the tangent line to f(x)=2x^3-4x+6 at x=-1

A:

Q: Find the slope of the tangent line to the graph of the functiony=f(x)=−6.5x^2 at point x=7

A:

Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1.

A:

Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

A:

Q: Find the tangent line of the function f(x) = - 4Vx at x = 4, and the point at which tangent %3D line…

A:

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find the equation of the tangent: f(x)=4x-8√x at x=16

A: Solution

Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

A:

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: 4. Find the slope of the tangent line to the function f(x)= +3; x+2 at x = 4 5x-10

A:

Q: find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.

A:

Q: Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A: The tangent line is horizontal when the slope is equal to 0 dy/dx = 0 y = x3+3x2-12 dy/dx = 3x2+6x…

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Find the equation of the tangent line to the graph of f (x) = 2e- at x = 0.

A: A tangent is a line that just touches the curve at a particular point

Q: Find all x-values where f(x) = (x² + 2x – 3)4 has a horizontal tangent line.

A: We find f ' (x) using the chain rule and the power rule. f(x)=(x2+2x-3)4…

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

A:

Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

A:

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

A:

Q: 2 Determine the equation of the tangent line to the graph of f(x) = Vx-12x at the point where x -3.

A:

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

A:

Q: Find the equation of the tangent line to the function f(x)=−2x3−4x2−3x+2 at the point where x=−1.…

A:

Q: Find the equation of the tangent line to the function f(x) = 2x° + 3x2 + 4x +2 at the point where x…

A: Given : fx = 2x3 + 3x2 + 4x + 2

Q: Find the slope of the line tangent to the curve x^3 - 3xy + 4x = 2 at x=1.

A:

Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…

A: we have to find tangent line at x=-2given

Q: Find the equation of the tangent line to the graph of the function f(x)=x+1x−6 at the point (0,−16).

A: Equation of tangent is y-y1=m(x-x1) where m is the slope.

Q: Find the equation of the tangent line to the graph of f(x)= (x/x+3)^3 at x= -2

A:

Q: Find all points (x, y) on the graph of f(x) = x° - 5x + 26x + 19 with tangent lines parallel to the…

A:

Q: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

A:

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

A:

Q: Find the exact equation of the tangent line to the curve f (x) = x³ + 3x +4 at x = 2.

A:

Q: Find the equation of the line tangent to f(x)=3/(2x+1)at the point (1, f(1))

A: Given function is  fx=32x+1

Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.

A: Slope is evaluated by differentiating f(x) wrt x at x=7 . Also f(7) is evaluated. Write equation of…

Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

A:

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

A: The given function is: f(x)=-x2-3x+4

Q: Find the equation of the tangent line to the graph of f(x) = (3x – x²)(3 – x - x²) at x = 1. y =

A: Topic:- Coordinate Geometry  Equation of tangent is  y+5x=7

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: