SOLUTION: Find dy/dx for the following functions of x. a) 4x^2(3-√x) b)(1-x)(4x-1)/√x

Algebra ->  Test -> SOLUTION: Find dy/dx for the following functions of x. a) 4x^2(3-√x) b)(1-x)(4x-1)/√x      Log On


   

Question 1190553: Find dy/dx for the following functions of x.
a) 4x^2(3-√x)
b)(1-x)(4x-1)/√x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find dy/dx for the following functions of x.
a) f(x) = 4x^2(3-√x)
f(x) = 12x^2 - 4x^2.5
dy/dx = 24x - 10x^1.5 = 24x%5E2+-+10x%2Asqrt%28x%29
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(1-x)(4x-1)/√x
= (-4x^2 + 5x - 1)/sqrt(x)
dy/dx = %28%28-8%2Ax%2B5%29%2Asqrt%28x%29-%28-4%2Ax%5E2%2B5%2Ax-1%29%2A0.5%2Fsqrt%28x%29%29%2Fx