a. Find the slope of the tangent line to the graph of f at the given point. b. Find the slope-intercept equation of the tangent line to the graph of f at the given point." f(x) = 2/3x at (3,6) a. The slope is (Type an integer or a simplified fraction.)

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

A: Here, we need to find the slope of the tangent line to the graph of the function g(x)=56x+9 at (-6,…

Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The objective is to find the slope and equation of tangent line.

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

A: Given, f(x)=e3x, 0,1 We need to find an equation of the tangent line to the graph of the function at…

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A: Writing the equation in standard form.

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1

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A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 11 − x2;…

A: Given:           g(x) = 11-x2

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A: Equation of the tangent line: y - y1=m(x - x1) m=f'(x)

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A: Given that: Graph of f(x) To Calculate: Value of f'(x)

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A: Find the equation of tangent line from the given conditions

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A: We can find the equation of tangent line to the graph as below.

Q: Find an equation for the tangent to the curve at the given point. f(x) = 8 x - X+ 1, (64, 1)

A: Equation of line at point (a, b) and slope =m is : (y - b) = m*(x - a)

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: fx=x3+723,   x=1

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

A: To determine the slope and equation of tangent line to the graph.

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A:

Q: Find an equation for the tangent line to the graph of f at the given point: f(x)=\sqrt(x-1) x=(5,2)

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) =5/3x + 9,…

A:

Q: Consider the function f(x) = e2x. Out of all the many tangent lines of f (x), determine the one that…

A: Topic;- application of derivatives

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =  3x…

A: Point of tangency = (2, 8)m = slope of the tangent line = f'(x) at the point of tangency =…

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A:

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A:

Q: Find an equation of the tangent line to the graph of the function at the indicated point. (a) f (x)…

A: Please see the answer in Step 2

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x)= 5/3x+9,…

A: The slope of the tangent line to the graph of the function is equal to the first derivative of the…

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

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A:

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A: Given,            fx=x+3x-12 ; 5,4To find: The equation of the tangent line of the function at the…

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A:

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A:

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A: Take the derivative of f(x) and equate to the slope of the given equation of line.

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A:

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: The first derivative of the function f(x) is called as the slope by putting x coordinate of the…

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A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is slope and m=dydxx0,y0

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: To write an equation of the tangent line to the graph of, y=fx, at the point on the graph where x…

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A:

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the…

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Q: Find an equation of the tangent line to the graph of f at the given point. f(x)= x+8/x-1 (1/2, -17)

A:

Q: Find an equation for the tangent line to the graph of the given function at (5,18). f(x) = x² – 7

A:

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A:

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A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

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A:

Q: Find the slope of the tangent line to the graph of the function at the given point. 6. g(x) =x + 2,…

A: We have to find slope

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A:

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A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: (a). For the function in this problem, find the slope of the tangent line at the given value.…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

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A:

Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

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

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: