dy y? y(to) = 0 2t dt

Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

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Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: 1. and t= 1-X %3D 7. find at X= 2 10

A: Please refer the attached image for complete solution.

Q: dy when x = - 1 and dt Given y = 6x +7x, find dx %3D = 5. dt %3D

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Q: dy dx Find when x = Vt and yt² +2+³ =

A: To find the derivative with given parametric equations

Q: 1. xyz dx dy dz

A: There is triple integration. First we integrate with respect to x, then w.r.t y and then w.r.t z.

Q: dy Find dt y = (4+ csc 2t) dy %3D dt

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Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

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Q: dy Find for y = 9+ 10t2 dt. dw

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Q: Differentiate. In x y= 11 y3D dx

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Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: y=xe powerx ,dy/DX=

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Q: Find dy. Y= 6x/1+x2

A: Use quotient rule to calculate derivative of y that is dy.

Q: dy + y = e*. dx

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Q: Find dy. y=5ln(3x+x4) dy=

A: To determine the derivative of the function.

Q: X dy/dx =y

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Q: dy 1 dx sec?y

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Q: Differentiate. In x y = dy dx

A: The quotient rule of differentiation is, ddxfxgx=gxddxfx-fxddxgxgx2. we have the differentiation…

Q: dx + 2x – 3y = t dt

A:

Q: dy Find if y=(3x+1)². dx

A: given  y=(3x+1)2 formula of derivatives→(i) d dx(xn)=nxn-1(ii)  d dx(constant)=0

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: