>
Exams
>
Mathematics
>
Logarithmic Differentiation
>
which one of the following observations is correct
Question:
Which one of the following observations is correct for the features of logarithm function to any base
\(b>1\)
?
KCET
Updated On:
Nov 12, 2024
The domain of the logarithm function is R, the set of real numbers.
The range of the logarithm function is R
+
, the set of all positive real numbers.
The point (1, 0) is always on the graph of the logarithm function.
The graph of the logarithm function is decreasing as we move from left to right.
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct answer is Option (C) : The point (1, 0) is always on the graph of the logarithm function.
Download Solution in PDF
Was this answer helpful?
1
1
Top Questions on Logarithmic Differentiation
Evaluate the integral:
\[ \int \frac{6x^3 + 9x^2}{x^4 + 3x^3 - 9x^2} dx. \]
KEAM - 2024
Mathematics
Logarithmic Differentiation
View Solution
If
\[ y = \log_e \left( \frac{1 + 2x^2}{1 - 3x^2} \right), \]
then
\( \frac{dy}{dx} \)
is:
KEAM - 2024
Mathematics
Logarithmic Differentiation
View Solution
If
\[ x^4 + 2\sqrt{y} + 1 = 3, \]
then
\( \frac{dy}{dx} \)
at
\( (1,0) \)
is equal to
KEAM - 2024
Mathematics
Logarithmic Differentiation
View Solution
Given that \( y = (\sin x)^x \cdot x^{\sin x} + a^x \), find \( \frac{dy}{dx} \).
CBSE CLASS XII - 2024
Mathematics
Logarithmic Differentiation
View Solution
If \( x^y = e^x - y \), prove that \( \frac{dy}{dx} = \frac{\log x (1 + \log x)^2}{1 + \log x} \).
CBSE CLASS XII - 2024
Mathematics
Logarithmic Differentiation
View Solution
View More Questions
Questions Asked in KCET exam
The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \( 0 \leq t \leq 20 \, \text{s} \) is
KCET - 2024
Current electricity
View Solution
A die is thrown 10 times. The probability that an odd number will come up at least once is:
KCET - 2024
Probability
View Solution
The incorrect statement about the Hall-Heroult process is:
KCET - 2024
General Principles and Processes of Isolation of Elements
View Solution
Corner points of the feasible region for an LPP are $(0, 2), (3, 0), (6, 0), (6, 8)$ and $(0, 5)$. Let $z = 4x + 6y$ be the objective function. The minimum value of $z$ occurs at:
KCET - 2024
Linear Programming Problem
View Solution
If a random variable $X$ follows the binomial distribution with parameters $n = 5$, $p$, and $P(X = 2) = 9P(X = 3)$, then $p$ is equal to:
KCET - 2024
binomial distribution
View Solution
View More Questions