NDA Maths Mock Test – 01 – Q88

Let f : R to R be a function, such that, f(x) = x³ + x² f'(1) + x f”(2) + f”'(3), for x in R. What is f”'(10) equal to?

• 6
• 5
• 8
• 1

i We ha√e,
‘ f(z) =2* — 52° +x² +6
On differentiating thrice w.r.t. x, we get 1
i f(z) = 3²% —10z +2
‘ = f(z) = 6x — 10
= f”(z)=6
1 fo) =6 “