हिंदी

X4 − 2 sin x + 3 cos x - Mathematics

Advertisements
Advertisements

प्रश्न

x4 − 2 sin x + 3 cos x

योग

उत्तर

\[\frac{d}{dx}\left( x^4 - 2 \sin x + 3 \cos x \right)\]

\[ = \frac{d}{dx}\left( x^4 \right) - 2\frac{d}{dx}\left( \sin x \right) + 3\frac{d}{dx}\left( \cos x \right)\]

\[ = 4 x^3 - 2 \cos x - 3 \sin x\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 30: Derivatives - Exercise 30.3 [पृष्ठ ३३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 30 Derivatives
Exercise 30.3 | Q 1 | पृष्ठ ३३

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the derivative of (5x3 + 3x – 1) (x – 1).


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 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):

`(px^2 +qx + r)/(ax +b)`


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):

sin (x + a)


Find the derivative of f (x) = 3x at x = 2 


Find the derivative of f (xx at x = 1

 


\[\frac{2}{x}\]


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


 (x2 + 1) (x − 5)


x ex


\[\sqrt{\tan x}\]


\[\cos \sqrt{x}\]


\[\frac{( x^3 + 1)(x - 2)}{x^2}\] 


cos (x + a)


x2 ex log 


(x3 + x2 + 1) sin 


x2 sin x log 


(x sin x + cos x) (x cos x − sin x


\[e^x \log \sqrt{x} \tan x\] 


Differentiate each of the following functions by the product rule and the other method and verify that answer from both the methods is the same.

(3 sec x − 4 cosec x) (−2 sin x + 5 cos x)


(ax + b)n (cx d)


\[\frac{x}{1 + \tan x}\] 


\[\frac{1}{a x^2 + bx + c}\] 


\[\frac{x \sin x}{1 + \cos x}\]


\[\frac{1 + \log x}{1 - \log x}\] 


\[\frac{ax + b}{p x^2 + qx + r}\] 


\[\frac{1}{a x^2 + bx + c}\] 


Write the value of \[\frac{d}{dx}\left( x \left| x \right| \right)\]


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


If f (1) = 1, f' (1) = 2, then write the value of \[\lim_{x \to 1} \frac{\sqrt{f (x)} - 1}{\sqrt{x} - 1}\] 


Mark the correct alternative in of the following:

If\[y = 1 + \frac{x}{1!} + \frac{x^2}{2!} + \frac{x^3}{3!} + . . .\]then \[\frac{dy}{dx} =\] 

 


Mark the correct alternative in of the following: 

If f(x) = x sinx, then \[f'\left( \frac{\pi}{2} \right) =\] 


Find the derivative of 2x4 + x.


Find the derivative of x2 cosx.


Find the derivative of f(x) = tan(ax + b), by first principle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×