Mathematics
Let $$f$$ be a polynomial function such that $$f\left( {3x} \right) = f'\left( x \right) \cdot f''\left( x \right),$$ for all $$x \in R.$$ Then:
A
$$f\left( 2 \right) + f'\left( 2 \right) = 28$$
B
$$f''\left( 2 \right) - f'\left( 2 \right) = 0$$
C
$$f''\left( 2 \right) - f\left( 2 \right) = 4$$
D
$$f\left( 2 \right) - f'\left( 2 \right) + f''\left( 2 \right) = 10$$
Single Correct
Medium
Published on 17th 09, 2020
Next Question
Questions
203525
Subjects
9
Chapters
126
Enrolled Students
84
Realted Questions
Q1
Subjective
Medium
$$I = \int {{e^{{{\tan }^{ - 1}}x}}\left( {\dfrac{{1 + x + {x^2}}}{{1 + {x^2}}}} \right)} dx$$ is equal
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
View Answer
Q2
Subjective
Medium
$$\displaystyle \int _0^{\pi/2} \sin x \cos x dx $$ is equal to:
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
View Answer
Q3
Single Correct
Medium
Value of the integral $$I=\displaystyle \int_{0}^{1}x(1-x)^{\mathrm{n}}dx=$$
- A. $$\displaystyle \frac{1}{n+2}$$
- B. $$\displaystyle \frac{1}{n+1}+\frac{1}{n+2}$$
- C. $$\displaystyle \frac{1}{n+1}$$
- D. $$\displaystyle \frac{1}{n+1}-\frac{1}{n+2}$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
View Answer
Q4
Subjective
Medium
Evaluate:
$$\displaystyle \int _{ 0 }^{ 1 } x^2+ 2x $$ dxAsked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
View Answer
Q5
Subjective
Medium
$$\displaystyle\int \left(e^x\right)^2 e^x dx$$ is equal to
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
View Answer