4-x If Q is the point (x, 2+x find the 2+x, The point P (2,) lies on the curve y = slope of the secant line PQ for the following x values. P(x1,Y1) Q(x2, Y2) msecant .5 1.5 2 .5 1.9 .5 1.99 .5 1.999

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

A:

Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A:

Q: Find the equation of the tangent line to the curve y = at 1+7e What is the equation of the line…

A:

Q: Consider the following curve. x + 2 y X - 4 Find the slope m of the tangent line at the point (3,…

A:

Q: Find an equation of the tangent line to the graph of y =- 2x at the origin and at the point (1,1). x…

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: Find an equation of the tangent line to the curve at each given point. x = t2 − 4,    y = t2 − 2t at…

A:

Q: 14. Let y = 4x² - 4x + 3. (a) Find an equation for the tangent line to this graph at x = 2. (b) Find…

A:

Q: Find the equation of the tangent line to the curve y=2tan(x) at the point (π/4,2). The equation of…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: Given function is and point is

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The given function is (a) Find the slope of the function  at given point P(0,8) is

Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

A:

Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: Find the equation of the line tangent to the given curve at x= a. Use a graphing utility to graph…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: To find the slope of the line tangent to the graph of f at P. (b) To determine an equation of the…

Q: The point P(5, -3) lies on the curve y = 4- x (a) If Q is the point x, find the slope of the secant…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: a. Slope of the line tangent to the given function fx=x3 at P1,1 First of all we need to find…

Q: Consider the following curve. y =  1 + x 2 + ex Find  y ′(x)        Find an equation of the tangent…

A:

Q: 24. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the of…

A: Given query is to find the slope of the tangent line at point (2,1).

Q: (1) Find the equation of the curve given the slope of its tangent line (mr) and the point P(a,b)…

A: Solution is below

Q: y-e-x4cos4x ស

A:

Q: a)find an equation for the tangent line drawn to the graph of f(x)=1/x at x=2. b)Find the exact…

A: a)

Q: The graph of the curve + y° = 6xy is shown above. The slope of the tangent line to this curve at the…

A:

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: Given- y=x-12+1 To find- the equation of the line which is tangent to the given curve. Using…

Q: Question 12 Find the slope of the tangent line to y = at X = 1 3 - х

A: The given curve is y=23-x, x=1 Differentiate the curve with respect to x      dydx = ddx23-x       =…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The given function is fx=4x2. Obtain the derivative of the function as follows: f'x=ddx4x2=-8x3…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: (a) we have to find the slope of the tangent to the graph of f at P. f(x)=1x  ,…

Q: Find an equation of the tangent line to the curve 2(1 + )° = 25(x² – 7) (a lemniscate) at the point…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: Given,          fx=2x+1 ; P0,1

Q: Please JUST ANSWER 4d. I provided the prior questions just in case. PLEASE DRAW THE GRAPH AND LABEL…

A: 4d. From part (a) the slope of the secant line PQ at x=0, 1 is – 2 each. Find the two equations of…

Q: 2 at the point P(-1,1) 1-x Find the slope of the tangent to y= Answer:

A:

Q: I need help figuring out how to do the work. Thank you

A:

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x3 -…

A: soln:Giveny=x3-2x2+4, p1,3The equation of the tangent line in slope intercept form…

Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

A:

Q: Please justify stuff that is asked. thank you have a wonderful day :)

A: Given function and point is

Q: c) Finally, draw a large and clear sketch of the graph of f(x) = z² – 2 and illustrate the tangent…

A:

Q: Using the slope you found in question 1, find the equation of the tangent line ) = 3x² at x = 2. to…

A:

Q: ya fix)

A: Since you have asked a question with multiple sub parts , we will solve the first three subparts for…

Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: Consider the following curve. X + 3 y = X - 5 Find the slope m of the tangent line at the point (4,…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: given that x-1 f(x)=

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: Given information: The function is ƒ(x)=3x + 3 and the point is P(2,3). (a) To find: The slope of…

Q: Consider the following curve. x + 2 y = x - 4 Find the slope m of the tangent line at the point (3,…

A: Find the slope of tangent by calculating first derivate of the given curve then write the equation…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The instantaneous rate of change in f at a isslope of tangent=limh→0f(a+h)-f(a)hwhich is also slope…

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

A:

Q: Question 6 The slope of the tangent line to the curve y =x² + 4x + 7 at x = 1 is Blank 1. Blank 1…

A:

Q: 2. Consider the graph of the equation r+ry+y- 5. Find the slope of the tangent line at the point…

A:

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A:

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: