Download App

5. continuity and differentiation — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
A function $f$ satisfies the relation

$f(x) = f''(x) + f'''(x) + .......\infty $ where $f(x)$ is a differentiable function indefinitely. If $f(1) = 5$ , then the value of $f'(1) + f''(1)$ is equal to

  • A
    $0$
  • B
    $-5$
  • ✓
    $5$
  • D
    cannot be determined
✓

Answer

Correct option: C.
$5$
c
$f'(1) + f''(1) = f(1) = 5$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 5. continuity and differentiation→5. continuity and differentiation — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Let A = N × N and × be the binary operation on A defined by (a, b) × (c, d) = (a + c, b + d). Then × is:
  1. Commutative.
  2. Associative.
  3. Both (a) and (b).
  4. None of these.l
→
A wire of length $22 \;m$ is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square and the equilateral triangle is minimum, is
→
For real $x$ with $-10 \leq x \leq 10$ define $f(x)=\int_{-10}^x 2^{[t]} d t$ where for a real number $r$ we denote by $[r]$ the largest integer less than or equal to $r$. The number of points of discontinuity of $f$ in the interval $(-10,10)$ is
→
An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable?
→
The direction cosines of the resultant of the vectors $(i + j + k),$$( - i + j + k),$ $(i - j + k)$ and $(i + j - k),$ are
→
Let $f : R \to R$ be a function such that $\left| {f\left( x \right)} \right| \leq {x^2}$ , for all $x \in R$ . Then, at $x\, = 0$, $f$ is
→
Area bounded by the ellipse $\frac{x^2}{4}+\frac{y^2}{9}=1$ is
→
$\int_{}^{} {\frac{1}{{{{\cos }^{ - 1}}x.\sqrt {1 - {x^2}} }}dx = } $
→
Choose the correct answer from the given four options.
The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is:
→
A function $f,$ defined for all positive real numbers, satisfies the equation $f(x^2) = x^3$ for every $x > 0$ . Then the value of $f ‘ (4) =$
→