If f(x)=3x-2x . v Find the slope of the tangent line to the graph of f(x) at the point (-1,1) a. Slope is m = - b. 6 Find f (x) C. 8 Find the domain of f(x). d. Slope is m=8 Find the value of f(x) at x=2 e. (1 ,00) f. (- 0∞, 00) g.-6

Q: Find an equation of the tangent to the curve at the given point. x = 4 + t2 − t,    y = t2 + 4,…

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Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: 2x +1 Find the slope of the line tangent to the graph of y = 5x at x = 1. 4

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Q: 11. For the given function, find the value of x on the graph where the tangent line is horizontal. y…

A: Writing the equation in standard form.

Q: For f(x) = 2x - 4x + 3 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 4 (C)…

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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Q: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

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Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: For f(x)= 1 / 17+x2​, the slope of the graph of y=f(x) is known to be −3 / 128 at the point…

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Q: 15. For f(x) = 1 the slope of the graph of y = f(x) is 1 + x' known to be - at the point with x…

A: Hi, thanks for your question but according to our policy, I am answering the first question . Please…

Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: For f(x)=1/4+x2​, the slope of the graph of y=f(x) is known to be − 2/25 at the point with​…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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Q: 2x+1 Aliza says that there is no tangent line with a negative slope for the f(x)% = Stella disagre…

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Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: Find an equation for the tangent line to the graph of the given function at (4,25). f(x) = x² + 9…

A: Given graph isf(x) = x2+9we have to find the equation of the tangent line at (4,25)we have f(x) =…

Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

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Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: For what value of x is the tangent line to the curve y = x^2– 6x +5 horizontal? A. -3 B. 3 C. -6 D.…

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Q: I need help figuring out how to do the work. Thank you

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Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: Q#1. Find the x-coordinate of the point on the graph of y =x² where the tangent line is parallel to…

A: The given curve is  y = x2 Secant line cuts the curve at x = - 1 and x = 2

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

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Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: Find the function f given that the slope of the tangent line to the graph at any point (x, f(x)) is…

A: f'x=lnxx

Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

A: We know that slope (m) of the tangent to the curve y=f(x) is :  m=dydx We have y=3x5+2x3+13x2+5

Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: 2. If f (x) = e**, find the slope of the tangent line to f ~1 at x = 1. А. 1 D. 4 В. 1/2 С. 1/4 E. 2…

A: Here we have to find the inverse of the function and then we find the slope of the tangent line

Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

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Q: 1. For the function f(x) = 4x? + 6x – 6, (a) Find the slope of f(x) at x = 4 (b) Find equation of…

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Q: 2. Write the equation of the tangent line to the curve y = x2 -x-2+ 2 at the point P(1, 2). 3. Use…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: If y-f(x) is a differentiable function satisfying the equation x'y - Sxy'-4y-4 and if S0) - 2, find…

A: The slope of the tangent is obtained by the first derivative of y=f(x) or y'. At (3,2); the slope of…

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: