Advertisements
Advertisements
प्रश्न
\[\frac{2 x^2 + 3x + 4}{x}\]
Advertisements
उत्तर
\[\frac{d}{dx}\left( \frac{2 x^2 + 3x + 4}{x} \right)\]
\[ = \frac{d}{dx}\left( \frac{2 x^2}{x} \right) + \frac{d}{dx}\left( \frac{3x}{x} \right) + \frac{d}{dx}\left( \frac{4}{x} \right)\]
\[ = 2\frac{d}{dx}\left( x \right) + 3\frac{d}{dx}\left( 1 \right) + 4\frac{d}{dx}\left( x^{- 1} \right)\]
\[ = 2\left( 1 \right) + 3\left( 0 \right) + 4\left( - 1 \right) x^{- 2} \]
\[ = 2 - \frac{4}{x^2}\]
APPEARS IN
संबंधित प्रश्न
For the function
f(x) = `x^100/100 + x^99/99 + ...+ x^2/2 + x + 1`
Prove that f'(1) = 100 f'(0)
Find the derivative of f (x) = 99x at x = 100
Find the derivative of f (x) = cos x at x = 0
\[\frac{1}{x^3}\]
\[\frac{1}{\sqrt{3 - x}}\]
\[\sqrt{2 x^2 + 1}\]
Differentiate of the following from first principle:
e3x
x ex
Differentiate of the following from first principle:
− x
\[\sin \sqrt{2x}\]
\[\tan \sqrt{x}\]
log3 x + 3 loge x + 2 tan x
\[\frac{( x^3 + 1)(x - 2)}{x^2}\]
\[\frac{1}{\sin x} + 2^{x + 3} + \frac{4}{\log_x 3}\]
cos (x + a)
Find the slope of the tangent to the curve f (x) = 2x6 + x4 − 1 at x = 1.
x3 sin x
logx2 x
x−4 (3 − 4x−5)
\[\frac{e^x}{1 + x^2}\]
\[\frac{x \tan x}{\sec x + \tan x}\]
\[\frac{2^x \cot x}{\sqrt{x}}\]
\[\frac{x^2 - x + 1}{x^2 + x + 1}\]
\[\frac{{10}^x}{\sin x}\]
\[\frac{x}{\sin^n x}\]
Write the value of \[\lim_{x \to a} \frac{x f (a) - a f (x)}{x - a}\]
Write the value of \[\frac{d}{dx}\left( \log \left| x \right| \right)\]
Mark the correct alternative in of the following:
If\[f\left( x \right) = 1 - x + x^2 - x^3 + . . . - x^{99} + x^{100}\]then \[f'\left( 1 \right)\]
Mark the correct alternative in of the following:
If \[y = \frac{1 + \frac{1}{x^2}}{1 - \frac{1}{x^2}}\] then \[\frac{dy}{dx} =\]
Mark the correct alternative in each of the following:
If\[y = \frac{\sin x + \cos x}{\sin x - \cos x}\] then \[\frac{dy}{dx}\]at x = 0 is
Mark the correct alternative in of the following:
If \[y = \frac{\sin\left( x + 9 \right)}{\cos x}\] then \[\frac{dy}{dx}\] at x = 0 is
Find the derivative of 2x4 + x.
Find the derivative of f(x) = tan(ax + b), by first principle.
