For the function y = 8x2 + 6x + 2, at the point x = 5, find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function

Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: For the function y = 5x2 + 4x + 2, at the point x = 5, find the following. (a) the slope of the…

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Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

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Q: Find an equation of the line tangent to the graph of f(x) = at 8,

A: f(x)=4x

Q: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) 6t - 2. (Give your answer as a…

A: Given,

Q: For the function P(x) = x3 − 7x, at the point (2, −6), find the following. (a) the slope of the…

A: Instantaneous rate of change of function is slope of tangent at any specific point

Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: If the instantaneous rate of change of fx) at (9, -6) is 2, write the equation of the line tangent…

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Q: For the function P(x) = x3 – 8x, at the point (3, 3), find the following. (a) the slope of the…

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Q: For the function y = 6x² + 5x + 6, at the point x = 7, find the following. %3D (a) the slope of the…

A: a) To find the slope of the tangent at x=7, we need dy/dx at x=7

Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

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Q: For the function y= 9x^2+8x+4,at the point x=4, find the following (A) the slope of the tangent to…

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

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: Let f(x) = 6 - 3x + 5x2. (a) Find f'(a) (b) What is the instantaneous rate of change of f when x =…

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Q: 3. For the fiunction g(x) = x - 2x² –1, at what tangent point(s) is the instantaneous rate of change…

A: given function :

Q: For the function y = 2x2 + 8x + 9, at the point x = 6, find the following. (a) the slope of the…

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Q: FIND THE EQUATION OF THE LINE TANGENT TO f(x)

A: Our objective is to find the equation of tangent line at a given point.

Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: For the functiony = 8x2 + 6x + 5,at the pointx = 8,find the following.(a) the slope of the tangent…

A: Given a function y = 8x2+6x+5.For any funtion f(x) the slope of the tangent at point x=a is…

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

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Q: slope m of the line tangent

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Q: For the function y = (x - 5)(x2 - 3x + 1) at (2, -3) find the following. %3D (a) the slope of the…

A: We have to find slope of tangent line and instantaneous rate for change..

Q: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

A:

Q: If the instantaneous rate of change of f(x) at (4, −3) is 7, write the equation of the line tangent…

A: The objective is to find the equation of the tangent line to the graph of f(x) at x=4.

Q: if the instantaneous rate of change of f(x) at (3,-9) is 5, write the equation of the line tangent…

A:

Q: 8. What is the rate of change of the slope of the tangent line to the curve y =x – 3x2 +1 when x =…

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Q: For the function  y =  x2 + 4 x + 16   at  (4, 1),  find the following. (Give exact answers. Do…

A: The instantaneous rate of change is the change in the rate at a particular instant, and it is same…

Q: For the function P(x) = x³ - 7x, at the point (2, -6), find the following. (a) the slope of the…

A: Note: The instantaneous rate of change is the slope of the tangent line at a point.

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find the slope of the tangent to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

A:

Q: For the function  Y=(x^2-8x)/(x^2+7x) at (5, -1/4) find the following. (Give exact numbers. Do not…

A: Given data:   The given equation for the curve is y=(x2-8x)/(x2+7x). The given point is (x1,…

Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: For the function y = 2x2 + 7x + 9, at the point x = 7, find the following. (a) the slope of the…

A:

Q: For f(x)=x^3​, the instantaneous rate of change is known to be 27  at x=3. Find the equation of…

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Q: Find the average rate of change and the equation of the secant line for 2x f (x) = from -1 to 3. x²…

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Q: For the function  y = (x2 + 3)(x3 − 9x),  at  (−3, 0)  find the following. (a) the slope of the…

A: Given Data: Function: y = (x2 + 3)(x3 − 9x) Point: (x, y)=(-3, 0) (a) The derivative of the given…

Q: For the function  y = 6x2 + 5x + 1,  at the point  x = 5,  find the following. (a) the slope of…

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Q: Estimate the slope of the tangent line at the point t = -6, for f(t) = 4t – 2. (Give your answer as…

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

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Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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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: What is the value of the slope of the tangent line to the x²+4xy + y=13 passing through the point…

A: Topic = Application of Derivative  As per guidelines, At a time only one question can be answered…

Q: For the function  y =  x2 + 3 / x+5    at  (2, 1),  find the following. (Give exact answers. Do not…

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Q: What is the slope of the line tangent to the graph of h(x)=sqrt(x) at x=3?

A: I have given the formula for finding a slope of tangent line below the proof  And it is used in this…

Exponential Growth Model

The relation that represents an exponential function is: