Find an equation of a line that is tangent to the graph of f and parallel to the given Iline. Function Line f(x) = x3 Зх — у + 8 %3 0 y = (smaller y-intercept) y = (larger y-intercept)

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

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

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Let's find.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of a line that is tangent to the graph of fand parallel to the given line. Function…

A: →Equation of straight line is y = mx+c, then 'm' is slope and 'c' is y-intercept.→Equation of…

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the equation of the line that is tangent to the graph f(x)= 3x^3-x and perpendicular to the…

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Q: Use the implicit differentiation of the equation to determine the slope of the graph at the given…

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Q: Find the equation of the line tangent to the graph of the function at the indicated point…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 20) f(x)…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the derivative of the given function. y = 3t4 - 4t2 y%3=

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Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

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Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: Write the equation of the line that is tangent to the function y = xyx and is parallel to y = 2x + 1…

A: Given function,     y = x x4 Parallel line to y=2x+1Genral line is  y = mx+cOn comparing both the…

Q: Find the point(s) at which the slope of the tangent line is equal to 21. And find the equation of…

A: First we differenciate given function and put equal to slope 21 from there we get value of x and…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: 3x4 – -7Vx5 + 4 - f (x) = x2

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Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: Find an equation of a line that is tangent to the graph of fand parallel to the given line. Function…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A: The general linear equation is fx=y=mx+c Here m is the slope of the curve and c is the y-intercept.…

Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find an equation of a line that is tangent to the graph of f and parallel to Function Line f(x) = x3…

A: In this question we will use basic of calculus i.e concept of application of differentiation. We…

Q: For Item # 3- 5: Myrvel is working on the graph of the function y = - 2x + 4x – 6x + 7 and the point…

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Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the derivative of the function y=(2x+5)^4(3x+1)^-5

A: The given function is y=(2x+5)4(3x+1)-5. The negative property of exponent isa-x is 1ax. The…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given that y'=f(x)=1x2-1     -----(1)Equation of the line is x+2y+7=0…

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

A: Topic = Derivative

Q: For the function y = (x - 2) lnx, what are the two x intercepts, and between the two intercepts, is…

A: The given function is y=x-2lnx. For x intercepts we take y=0 and then we solve for x. If y''(x)>0…

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: x = -t4 – 5t – 3 2.

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Q: Find an equation of a line that is tangent to the graph of fand parallel to the given line. Function…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Here we find equation of a line that is tangent to the graph fx=x2 and parallel to the line…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given function, fx=1x          ...(1) Given line, x+2y-6=0       ...(2)

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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Q: Find the equation of the line that is tangent to the graph of the given function at the specific…

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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: