3 Find the differential dy of the function y = 4x ³ Select one: O a. 12 O b. O c. 3 5 O e. 3 5² X X O d. 4x dx ¾ ax dx 5 4x dx dx dx

Q: df Find and dx dy for the following function. 7 f(x.y) = x' - 3xy + 6y? df

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Q: d =489 dx Where operator D = Find the GS of (D+1)³y = ex

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Q: Find the indicated derivative. dy dx 2x² 1- 2 xª – 2x² + 3 for y -

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Q: Find d dx L 0 4x 1+x4 1 1+x4 2x 2 1+x² 1 21+t2 dt

A: Step 1:Step 2: Step 3: Step 4:

Q: dy dx y = 2log 6X Find

A: Given that y=2 log6x Derive w.r.t 'x' dydx=ddx2log6xdydx=2xlog 6 Since ddxlogax=1x log a

Q: dy Find implicitly. dx dy dx 11 x²e-x + 3y² - xy = 0

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Q: Give the relation ln(y)+y=x2 find dy/dx

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: dy Find for y = sin (2x +3) da %3D Ans=

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Q: Find dy/dx for the function. x² + 5x + y² – 9y + 1 = 0 dy 2х + 5 dx 2у — 9 II

A: Given: x2+5x+y2-9y+1=0

Q: A. J x² sin x dx B. f(x²+1) Inx dx C. fex cos x dx

A: For the integral ∫ x² sin(x) dx, we can use the method of integration by parts. The formula for…

Q: Find if y%3D cos (2x)+ 2еж: dx dy

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Q: Find dy. y=x√√5x+4 O 15x + 8 2√√5x+4 15x-S √√√5x+4 O 15x-8 ₂√√√5x+4 15x + 8 √√5x+4 dx dx dx

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Q: Find dy dx x +3 Sint de X-x

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Q: dy d {-3xy} in terms of x , y , and dx y is a differentiable function of x . Write dx

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