Differentiate 3x322sinx34 e4x CSolutionGiven 3x322sinx34 e

Differentiate : 3x^(3/2)+2sinx-(3/4 e^(-4x) )+ C

Solution

Given 3x^(3/2)+2sinx-(3/4 e^(-4x) )+ C = f(x) say

derivative f\'(x) = d/dx(3x^(3/2)+2sinx-(3/4 e^(-4x) )+ C)

= 3*3/2(x3/2-1) + 2cosx - 3/4e-4x *d/dx(-4x) + 0

= 9/2*x1/2 + 2cosx + 3xe-4x

  

Differentiate : 3x^(3/2)+2sinx-(3/4 e^(-4x) )+ CSolutionGiven 3x^(3/2)+2sinx-(3/4 e^(-4x) )+ C = f(x) say derivative f\'(x) = d/dx(3x^(3/2)+2sinx-(3/4 e^(-4x) )

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