Find the derivative of the following functions using the appropriate rules of differentiation: [2] (a) f(x) = log3 c+ V- cos(3.r) %3D [1] (b) ƒ(x) =7-2 [1) (c) f(x) = 2(1 – 3.r*)/. [1] (d) f(x) = In(x³ + 4)°. [1] (e) f(r) = r sec r. () [2] (f) f(x) = Arctan (Simplify the resulting expression.) 1 Focus 196 words W 00

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Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

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Q: f(x)=rad(3-sinx/4-cosx)

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Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: Compute the derivatives of the following functions using differentiation rules. (a) f(x) = *-3 + 1…

A: Here we will be using quotient rule in part a) product rule in part b) power and chain rule in c)

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…