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KCET2021MathematicsDifferentiation

If a and b are fixed non-zero constants, then the derivative of a x⁴ - b x² + x is m a+n b-p , where

Options

  1. Am=4 x³, n= -2 x³ and p= x
  2. Bm= -4 x⁵ , n= 2 x³ and p= x
  3. Cm= -4 x⁵ , n= -2 x³ and p= x
  4. Dm=4 x³, n= 2 x³ and p=- x

Correct answer

B. m= -4 x⁵ , n= 2 x³ and p= x

Step-by-step solution

Given, function is a x⁴ - b x² + x . Let f(x)= a x⁴ - b x² + x Differentiating w.r.t. x , gathered d d x f(x)= d d x ( a x⁴ - b x² + x ) =- 4 a x⁵ + 2 b x³ - x =m a+n b-P m=- 4 x⁵ , n= 2 x³ and p= x gathered

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