Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f (x) 16 5x f ( +h) = Step 1: !! s (x+h)- f (r) =| Step 2: f (r+h) - f (x) Step 3: f(x +h)- f(x) Step 4: f' (x) = lim Need Help? Watch It Additional Materials

Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3)…

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using…

Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

A:

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

A: Here we find the equation of tangent line of the function fx=-3x2-2xat x =1

Q: OFind the eguation of the tangent line for f(x) = 6x²-3x +a when x= 5. You may problem. use…

A:

Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

A: We find f'(x) using the quotient rule.

Q: Find the equation of the tangent line to the given function at the given value. y = 4x3 + x at x =…

A: Given the equation of the function y=4x3+x At x=-1 the value of y on the given curve is…

Q: Use the limit definition to compute the derivative of the function at  x = 6.   f(x) = 2x2 + 6x   f…

A: Given: f(x) = 2x2 + 6x       To determine: the derivative of the function at  x = 6 using the…

Q: 1. Use one of the definitions of the derivative at a point to determine the slope of the tangent…

A: f(x)=2x2-x We need to find the slope of tangent at the point (1,1)

Q: 6. A rancher wants to fence off a rectangular corral with an area of 4050 sq. yds next to a river.…

A:

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…

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

Q: The derivative of a certain continuous and differentiable function is given by: y = 3-x - 12-x +9.…

A: For maxima-minima, derivative of the function must be zero. That is,…

Q: The slope of the tangent line to the graph of the function y = 2x3 at the point (2, 16) is lim2"…

A:

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: Solve for the slope of the functions at the points specified using the limit definition of slope of…

A: Consider the function  f(x) = 12x2− 9x + 15 point (−2, 81).

Q: Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3x using First…

A:

Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

Q: 3. Use the limit definition of the derivative to find the equation of the tangent line to the curve…

A:

Q: The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes…

A: Given function is, f(x)=x2

Q: The slope of the tangent line to the graph of f(r) at the point (-7,5) is The equation of the…

A: Topic - equation and slope of tangent line to curve

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

A:

Q: Find the equation of the line tangent to y = at the point (-2,1) 2x2 +1 Show all work. (You must use…

A:

Q: Find the equation of the tangent to the graph of f(x) = x-3 at the point (5, 4). Start by evaluating…

A:

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

A: Given function: fx=16xx2+16  ……1   To find: Tangent line equation at point -2, -85.

Q: Explain the relationship between the following slope of tangent line formulas. How are they similar?…

A: The relationship between the following slope of tangent lin formulas. Use both to solve for f(x) =…

Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

A:

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

A:

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: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: Let y=4x4 + x. At what point is the tangent line to the graph perpendicular to the linet tangent to…

A: if line L1 having slope m1 and line L2 having slope m2 are perpendicular then m1m2=-1

Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

A:

Q: Your job is to find some shortcuts for taking derivatives. For example, if the function is of the…

A: In this question we will use basic of calculus i.e concept of derivative. We will write some…

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

A:

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) = -6 and f'(2)= 5.…

A:

Q: lim x→0 4-Vx+16

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

A:

Q: Determine the slope of the secant between x = 3 and x =8 for the function f(x) = 2x3-7x. .B Draw a…

A:

Q: 3. Use the limit definition of derivative to find f'(x) for f (x) = You will only get credit for…

A:

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

A:

Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched

A: f(x) = 4/x                    Slope of tangent = -1

Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

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: