Use calculus to find a point P on the graph of f(x)=x^2+5 such that the tangent line to the graph of f at P has to an intercept at 2.

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

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Q: how do you find the tangent line to the curve of f(x)= -6 square root x at x=4

A: We have given,

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: Estimate the slope of the tangent line to the graph of f(x) = x^2+6x at x = 5.

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Write the equation of the tangent line to f (x) = (2x + 1)(x = 5) at (1, –12). %3D

A: We'll answer the first question since exact one was not specified. Please resubmit the question…

Q: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Show that no tangent line to the graph of f(x) = tan x has zero slope. What is the least slope of a…

A: Slope of tangent line to f(x)=tanx is given by f'(x)=sec2(x). sec(x)≠0 , so f'(x)≠0  This proves…

Q: find the tangent line of f(x)= 3x-4/x+1 at x=0

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Given function is : fx=6x2 To find out slope of tangent at x=2 , Differentiate fx with respect to x,…

Q: find the slope of the tangent line to the graph of f at the given point f(x)=x^2-8x+2 at (2,-10)

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Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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

A: The slope of the tangent line to the function is given by f'(x) . According to sum rule of…

Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

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

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Q: use 4 step process to find the slope of the tangent line to the graph of the given funcion at any…

A: Given,           F(x) =x2 + 6x

Q: Find the tangent line to f(x) = , when x = 1. Give your answer in fully 2-x simplified slope…

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Q: Find equation of the tangent line to the graph of y=sqrt(x^3-2) At the point where x=3

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Q: 2) NOT use the short cut method). Use the result to find the slope of the tangent line at the point…

A: Topic:- Derivative

Q: What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

Q: how do i estimate and list the value of x where f(x) has a horizontal tangent

A: Recall the following facts.

Q: Use definition to find the derivative of the function f (x) = 5x- 2x at = 3. [2 Marks] %3D

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Q: neslope of the tangent line to the curve entline defined by x-2x4-443=-208 at the point (2,4)…

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Q: Estimate the slope of the tangent line to the graph of the following function at the point x = -6. f…

A: Given that a function f(x) and we find the slope of this graph at point x=-6. The slope of tangent…

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: 12, for f(x) n(x) Estimate the slope of the tangent line at the point x (Use decimal notation. Give…

A: Given,

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

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

A: The given function is fx=2x2-x at the point 1,1. Definition of the derivative at a point is…

Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x) =…

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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: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: X where tangent line is horizontal. f(x)=x3-4x2-9x+13

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Q: Find the slope of the tangent line of f (x) = 2x² - 3x + 2 at x = 2 %3D

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Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Determine the points at which the graph of the function has a horizontal tangent line. x² f(x) x-3…

A: Given:      fx=x2x-3 A point on a function will have a horizontal tangent line where the first…

Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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

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Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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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 SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5- x2 AT (3,–4). %3D

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Q: Use product rule to find the derivative of f (x) = (x² + 5cosaæ)(x – 2x + tanx).

A: We can find the derivative of the given function using the product rule as below

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: