Question: BASIC CALCULUS Differentiate the following functions. f ( x ) = x 9 3 x 6 + 4 x 3 8 x f ( x

BASIC CALCULUS

Differentiate the following functions.

  1. f(x)=x93x6+4x38x
  2. f(x)=12x5x6+3x3
  3. h(x)=(x2+4)(x33x+2)
  4. g(x)=x2+xx25x
  5. y=(x44x2+7)5
  6. y=(x43)x2+1

Compute the indicated derivative.

  1. f(x)forf(x)=5x214x+x3
  2. yfory=x2+43x2
  3. dx2d2yfory=(2x21)1/2

Find the derivative of each function using implicit differentiation.

  1. 3y4+7x=x2+y3
  2. 2x3y3y3x+x2y22=0
  3. x3y31+4y2x=xy2

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