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GradeDerivative of Logarithmic Functions

TopicLatest Questions

What is derivative of $ y = \ln \left( {\ln \left( x \right)} \right) $ with respect to $ x $ ?

How do you find the derivative of $ y=\ln \left( \sin x \right) $ ?

How do you find the derivative of $y = \ln \left| {\sec x + \tan x} \right|$?

How do you find the derivative of \[\log(8x – 1)\] ?

What is the derivative of \[{\log _3}x\]?

Find the derivative of \[{\log _{10}}x\] with respect to \[x\].

If $x > 0$ and ${\log _3}x + {\log _3}\left( {\sqrt x } \right) + {\log _3}\left( {\sqrt[4]{x}} \right) + ... = 4$ , then $x$ equals

(1) $9$

(2) $81$

(3) $1$

(4) $27$

(1) $9$

(2) $81$

(3) $1$

(4) $27$

The first derivative of the function $\sin 2x\cos 2x\cos 3x + {\log _2}{2^{x + 3}}$ with respect to x at $x = \pi $ is:

(A) $2$

(B) $ - 1$

(C) $1$

(D) None of these

(A) $2$

(B) $ - 1$

(C) $1$

(D) None of these

FInd the differentiation $\dfrac{d}{{dx}}\log (\sec x + \tan x) = $

$1)\cos ecx$

$2)\sec x$

$3)\tan x$

$4)\cos x$

$1)\cos ecx$

$2)\sec x$

$3)\tan x$

$4)\cos x$

The Local maximum value of the function $\dfrac{{\log x}}{x}$ is

A) $e$

B) $1$

C) $\dfrac{1}{e}$

D) $2e$

A) $e$

B) $1$

C) $\dfrac{1}{e}$

D) $2e$

Derivative of ${\log _{10}}x$ with respect to ${x^2}$ is;

$\left( 1 \right)2{x^2}{\log _e}10$

$\left( 2 \right){\log _{10}}\dfrac{e}{{2{x^2}}}$

$\left( 3 \right){\log _e}\dfrac{{10}}{{2{x^2}}}$

$\left( 4 \right){x^2}{\log _e}10$

$\left( 1 \right)2{x^2}{\log _e}10$

$\left( 2 \right){\log _{10}}\dfrac{e}{{2{x^2}}}$

$\left( 3 \right){\log _e}\dfrac{{10}}{{2{x^2}}}$

$\left( 4 \right){x^2}{\log _e}10$

If $y{\text{ is a function of }}x$ and $\log \left( {x + y} \right) = 2xy$ , then the value of $y'\left( 0 \right)$ is :

$\left( 1 \right)1$

$\left( 2 \right) - 1$

$\left( 3 \right)2$

$\left( 4 \right)0$

$\left( 1 \right)1$

$\left( 2 \right) - 1$

$\left( 3 \right)2$

$\left( 4 \right)0$

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