मराठी

2 Sec X + 3 Cot X − 4 Tan X

Advertisements
Advertisements

प्रश्न

2 sec x + 3 cot x − 4 tan x

Advertisements

उत्तर

\[\frac{d}{dx}\left( 2 sec x + 3 cot x - 4 \tan x \right)\]
\[ = 2\frac{d}{dx}\left( \sec x \right) + 3\frac{d}{dx}\left( \cot x \right) - 4\frac{d}{dx}\left( \tan x \right)\]
\[ = 2 \sec x \tan x - 3 \cos e c^2 x - 4 \sec^2 x\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 30: Derivatives - Exercise 30.3 [पृष्ठ ३४]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 30 Derivatives
Exercise 30.3 | Q 12 | पृष्ठ ३४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

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 x–4 (3 – 4x–5).


Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(x + a)


Find the derivative of f (x) = cos x at x = 0


\[\frac{x^2 + 1}{x}\]


\[\frac{x^2 - 1}{x}\]


\[\frac{x + 2}{3x + 5}\]


\[\frac{1}{\sqrt{3 - x}}\]


\[\sqrt{2 x^2 + 1}\]


Differentiate  of the following from first principle:

sin (x + 1)


Differentiate  of the following from first principle:

 x sin x


Differentiate each of the following from first principle: 

sin x + cos x


Differentiate each of the following from first principle:

\[e^\sqrt{ax + b}\]


Differentiate each of the following from first principle:

\[a^\sqrt{x}\]


Differentiate each of the following from first principle:

\[3^{x^2}\]


tan (2x + 1) 


\[\sqrt{\tan x}\]


\[\tan \sqrt{x}\] 


x4 − 2 sin x + 3 cos x


\[\frac{( x^3 + 1)(x - 2)}{x^2}\] 


x3 sin x 


xn loga x 


x2 sin x log x 


sin2 x 


(ax + b)n (cx + d)n 


\[\frac{e^x - \tan x}{\cot x - x^n}\] 


\[\frac{x}{1 + \tan x}\] 


\[\frac{e^x}{1 + x^2}\] 


\[\frac{\sin x - x \cos x}{x \sin x + \cos x}\]


\[\frac{p x^2 + qx + r}{ax + b}\]


\[\frac{ax + b}{p x^2 + qx + r}\] 


Write the value of \[\lim_{x \to a} \frac{x f (a) - a f (x)}{x - a}\]


If \[\frac{\pi}{2}\] then find \[\frac{d}{dx}\left( \sqrt{\frac{1 + \cos 2x}{2}} \right)\]


Write the value of the derivative of f (x) = |x − 1| + |x − 3| at x = 2.


If |x| < 1 and y = 1 + x + x2 + x3 + ..., then write the value of \[\frac{dy}{dx}\] 


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 \[f\left( x \right) = x^{100} + x^{99} + . . . + x + 1\]  then \[f'\left( 1 \right)\] is equal to 


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 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×