Find an equation for the line tangent to the graph of f at (2, 28), where f is given by f(x) = 5x³ – 5x? +8- y =

Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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Q: What is the equation of the line tangent to * f(x) = 4x2 + 2x – 1 at x = 0

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

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find an equation for the line tangent to the graph of f at (2,15), where f is given by…

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Q: Find the slope of the line tangent to the graph of x^2+2xy^2+3y=31 at the point(2,-3)

A: The slope of the tangent line can be calculated by using the derivative of the function at the point…

Q: find the slope of the line tangent to the curve x2=y2+3/2xy at (4,2)

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Q: Find the equation of the tangent line to the curve y2=6x-3 perpendicular to the line x+3y=7

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Q: Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x 1.

A: You have posted multiple question. As per the instruction, we are answering the first one. If you…

Q: Find an equation of the tangent line to the graph of f (z) = -2² + 3z – 2 at the point (2, 0)

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Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1

A: Find the derivative of y = 1 + 2x + 3x4                                y' = 2 = 12x3

Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

Q: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

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Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

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Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: Find the equation of the line tangent to the curve of x²y2 – xy + x = 1 at (1, 1).

A: Given: x2y2-xy+x=1 As we know that; The slope of the tangent line to the curve at a given point is…

Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: Find the equation of the line tangent to the curve x^3 - 3xy + 4x = 2 at x = 1.

A: On solving this we will get

Q: Find an equation for the line tangent to the graph of f at (3, 103), where f is given by f(x) = 5x³…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: If f(x)=7+6x−5x^2, find the equation of the line tangent to the curve f(x) at x=4 y = ?

A: We have to find tangent line equation. Given f(x)=7+6x−5x2 and at x=4 we have to find tangent line…

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.

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Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

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Q: find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=5e^x, x=0

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Q: If  F(x) = 12x/(3 + x2),  find F '(3) and use it to find an equation of the tangent line to the…

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Q: If f(x) = 5x2 − x3,find f ' (1) and use it to find an equation of the tangent line to the curve y =…

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Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: Find an equation for the line tangent to the graph of f at (1, 14), where f is given by f(x) = 30 -…

A: Please refer the attached image for complete solution.

Q: Find the equation of the tangent line to the function f(x)=−2x3−4x2−3x+2 at the point where x=−1.…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 eX +…

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Q: Find the slope of the line tangent to the curve x^3 - 3xy + 4x = 2 at x=1.

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Q: Find the equation of the line tangent to the graph of f(x) = 5x° +4x² – 5z – 6 at z = -6. %3D

A: Given that       f(x) = 5x3+4x2-5x-6      at x=-6 Here we have to find the equation of the line…

Q: Find all points (x, y) on the graph of f(x) = x° - 5x + 26x + 19 with tangent lines parallel to the…

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Q: Find the equation of the tangent line to the function f(x)=−4x2−3x+2 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1given

Q: Find equation of a line tangent to the graph: f(x) = xm) at xo = 1

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Q: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Find the equation of the tangent line to the function f(x)=−3x3−2x2−1 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1

Q: Find an equation of the line tangent to the curve defined by x^3+6xy+y^5=21 at the point (2,1)

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Q: What is the equation of the tangent line to the curve f(x)= 4x2 + 2x -1 at the point x=0 ?  a.)…

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Q: Find the equation of the tangent line to the function f(x) -x2 – 4x + 4 at the point where x = -2. =…

A: Answer is- Option 3 is correct Explanation is given below...

Q: Find f (4) and f ,(4) if the tangent line to the graph of f at x = 4 has equation y = 3x − 14.

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Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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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: