2 Let f(x) = x² – 6x. (A) Find the slope of the secant line joining (2, f(2)) and (7, f(7)). Slope of secant line = (B) Find the slope of the secant line joining (4, f(4)) and (4 + h, f(4+ h)). Slope of secant line = (C) Find the slope of the tangent line at (4, f(4)). Slope of tangent line = (D) Find the equation of the tangent line at (4, f(4)). 6- y =

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

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A: It is known that the slope of a secant line between points (a, f(a)) and (b, f(b)) is given by:

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A:

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A: To find the slope of the tangent line to the below curve the point (-6,4)

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A:

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Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 6x – 3, at which the slope of the tangent…

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Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.find a,b

A: The equation of the curve is  2y2 = ax2+b…

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A:

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A: Curve y=ax3+bx2+cx+d is tangent to the line y=3x+8 at the point (-2,3). The curve y=ax3+bx2+cx+d has…

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A: The graph of y=xx-4 with tangent line perpendicular to the line y=4x-3

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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A: Formula of equation of tangent is y-y1 = m(x-x1)

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A:

Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

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A: Given curve y=x3-2    ;   (2,6)

Q: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).

A: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).…

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A:

Q: 1. Find an equation of the tangent line to the curve y = 2x3 – 5 at the point (-1,3).

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the point (xo, yo) on the graph of y = x + 3x² + 4x – 5, at which the slope of the tangent line…

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Q: the equation of the tange

A: Given that: The equation of the curve x2 + 4y2 = 8. The equation of the line x + 2y = 8.

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Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

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Q: (15) Find an equation of the tangent line to the curve, xy3 − y = x2 + 5, at the point (1,2).

A: Find the slope

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A: By using equation of tangent line formula, we find the required tangent line.

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Q: 4. Find the slope of the given function y3 = 4x with points (1, 2) using long method. Plot the curve

A: The solution are next step

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

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Q: The slope of the curve y^2-xy-3x=1 at the point (0,-1)

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Q: Find the equation of the tangent to the curve y = x/2x² + 7 at x = 3.

A: Topic = Application of Derivative

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

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Q: A)Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: slope of the tangent to the curve y2x+ y2x2 =6at (2,1) is

A:

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

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Q: Let f(x) 2.x2. Then f'(x) = 4.x. Find the equation of the tangent li at x = 1 for f (x). That is,…

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Q: Find all points (x, y) on the graph of y with tangent lines perpendicular to the line y = 4x - 5. (x…

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Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent…

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Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…