A. Find the slope of the tangent line to the graph of f(x)=7x^2 at the point (3,63) B. Find the slope-intercept equation of the tangent line to the graph of f(x)=7x^2 at the point (3,63) A. What is the slope of the tangent line? Mtan =___ B. Complete the slope-intercept equation of the tangent line below? Y= ___

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

A:

Q: 8. Estimate the slope of the tangent line to the curve y = -2x at x=-4, and then use it to find the…

A: Given curve is y=-2x3 To find the slope of tangent at x=-4. Solution: Differentiating the given…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2…

A:

Q: Use the definition of the derivative to find the slope m of the tangent line to the graph of the…

A:

Q: find the slope of the tangent line to the graph of the following function at the given point fx…

A:

Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: On which derivative rule is the Substitution Rule based?

A:

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

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at…

A:

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

A: The given equation is y=3x2+2x and the point is -2,8

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: What role does the derivative play in defining slopes, tangent lines, and rates of change?

A: To determine the role of derivative of a function in defining slopes, tangent lines and rate of…

Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

A: Equation of the tangent line to the curve   8xy+y2-x2+38x=217..............(1) at (3,4)

Q: Suppose that the function y in the Derivative Product Rule has a constant value c. What does the…

A: Derivative product rule:The derivative product rule for the functions x and y is given by,

Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: Find an equation of the tangent line to the curve at the given point. y = Sqrt(x) (81,9)

A: Consider the given function:

Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

A:

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

A:

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: Find the equation of the tangent line on the top graph of ... at the point (3,2)

A:

Q: Find the equation of the tangent line to the curve y = xV13 – x² at the point (2,6).

A:

Q: Find the equation for the tangent line of the graph of y = x² at (-1,1). Equation:

A: The given function y=x2 at (1,1)

Q: alculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. x²+ 2² - 4x…

A: This is a problem related to derivative. Based on the general formula and concept we will answer the…

Q: Find the slope of the tangent line to the curve x – 4xy + y° = - 23 at the point (- 3, – 2).

A:

Q: Find the slope of the tangent line to the curve defined by 4x² + 5xy + 3yª = 98 at the point (-5,…

A: Given equation of the curve is 4x2+5xy+3y4=98.

Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

A:

Q: Please provide an example of real life computation and application of slope of a tangent line

A:

Q: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

A: Query- Describe the relationship between the derivative of a function to the slope of the tangent…

Q: Find an equation of the tangent line to the graph at the given point.  square root of x + square…

A:

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: 5- Find the slope of the curve and the tangent line of y = 2x- 3 at (0, 2).

A:

Q: What is the equation of the tangent line of the function y = 2 + x² at point (3, -2)?

A: y=2+x2

Q: Find the equation of the tangent line to the curve y = x³ – 4x + 3 at the point (3, 18). Tangent…

A: Answer and explanation is given below...

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

A:

Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

A:

Q: Find the equation for the tangent line of the graph of y = x² at (-3, 9). Equation:

A:

Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: Find the slope and equation of the tangent line to the curve y = x2 – 4x + 5 at (2,-3)

A: Given curve is : y = x2-4x+5 We have to find slope and equation of tangent line to given curve at…

Q: Find the slope of the tangent line to the curve defined by 3x^3 - 7xy - 7y^6 = -1599 at the point…

A: