1. If x'y-xy'=2 find y and y" at x=1

Q: 3. The slope of tangent line at any point (x, y) on the curve is 3x²-2x+7. What is the equation of…

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Q: 16. The value of y' for y = x³ + 2x² – 4 at point (-2, –4) is, I. -4 П. 4 III. 6 IV. 8 | II O IV

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Q: Find y' and y". y = In(x + √5 + x² ² = In ( x +

A: Given:  y=lnx+5+x2   To find the value of y', y''.  The formula of ln x'=1x. The formula of…

Q: 6. Solve (a) y' = 2ry(1+ 7²)-1 (Hint: Separate.)

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Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: 5. Find y' for y=³√ 3√² + 3√/2

A: The given function is: y=3x2+53x As we know that, The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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Q: Find the general equation for y if y': √8x +3

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Q: 6. y=x(x-2)(x-) plot the conic Curve

A: Given, y =xx-2x-10  We have to plot the curve.

Q: d'y 1 of the function -x'+y' = 3 1 Evaluate y"or when x = 0. 3 xp

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Q: 5b. Find y' when =etet ey

A: The equation is given by y = e2+ex2+ey2…

Q: _y=3+x-5x² + x40 x = 0

A: Let suppose the slope of the tangent line is m and this line is passes through then equation of…

Q: 1 and y' CO)

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Q: 61. Find the points on the graph of y2 = x³ – 3x +1 (Figure 10) where the tangent line is…

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Q: If xy + e' = e, find the value of y" at the point where x = 0.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.