Z' = 0 2 3] 30 calculate e At Z+ 3 [1³]

Q: d Evaluate the following derivative: dx (1 + t² dt. Oxv1 +x4 + v1+x² Main Content None of these O…

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Q: „T7/12 (1 + etan 3x) sec 2 3x dx Зе

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Q: Find f'(z) of f(z) = 3πi.

A: Compare the given function f(z) = 3πi. with f(z)=u(x,y)+i v(x,y) So,  u(x,y) =0 and v(x,y) = 3π

Q: Find f'co) if fco)= (Since\ %3D

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Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: Find G′(w) if G(w)=5/ 9w^5 +7 sqaure root w. G'(w)

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: 1 x'Vx dx –16 x*-16

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Q: y = 5** +(3–x²)

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Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: 3 y=(1+x*) * x4 - x

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Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: Find y' if y= is-2x(+)* +

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Q: Find y'' in y = (1 + 1/x)3

A: We first expand the given expression first.

Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: If y = xsinx then prove that y''+y=2cosx

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Q: Show that d/dz(z^2 z ̅) does not exist anywhere.

A: Here we show that ddzz2z does not exist anywhere.