Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202021 Sep 2020Evening ShiftMathematicsDifferentiationActual

If (f(x)=x^4-x^3+7 x^2+14 ), then what is the value of (f^ (5) ) ?

Options

  1. A842
  2. B248
  3. C284
  4. D482

Correct answer

C. 284

Step-by-step solution

Given, (f(x)=x^4-x^3+7 x^2+14 ) ( aligned & f^ (x)=4 x^3-3 x^2+14 x & f^ (x)=12 x^2-6 x+14 & f^ (5)=300-30+14=284 aligned ) Hence, option (c) is correct.

Practice Differentiation on Quantrex Academy →

More from Differentiation

The domain of the derivative of the function f(x)= x 1+|x| is 2025If x= 2^ cosec ⁻¹ t and y= 2^ ⁻¹ t ,|t| 1 then d y d x = 2025If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a>b>0 , then at ( 4 , 4 ) , dy dx = 2025If x y - y x =0 , then d y d x = 2025If y = ( _ x x )^ x , then dy dx = 2025If f(x)=x^ Sec ⁻¹ x , then f^ (2)= 2025If y= x^4 3 x-5 (x^2-3 )(2 x-3) , then ( d y d x )_ x=2 = 2025If x^2+y^2+ y=4 , then the value of d^2 y d x^2 at x=-2 is 2025 Full Differentiation list All AP EAMCET PYQs