मराठी

X4 − 2 sin x + 3 cos x

Advertisements
Advertisements

प्रश्न

x4 − 2 sin x + 3 cos x

बेरीज
Advertisements

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 30: Derivatives - Exercise 30.3 [पृष्ठ ३३]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 30 Derivatives
Exercise 30.3 | Q 1 | पृष्ठ ३३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the derivative of x2 – 2 at x = 10.


Find the derivative of 99x at x = 100.


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):

(ax + b) (cx + d)2


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):

`(a + bsin x)/(c + dcosx)`


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))/ cos x`


Find the derivative of the following function at the indicated point: 

 sin 2x at x =\[\frac{\pi}{2}\]


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


 (x2 + 1) (x − 5)


Differentiate  of the following from first principle: 

− x


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: 

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


\[\tan \sqrt{x}\]


\[\tan \sqrt{x}\] 


\[\text{ If } y = \left( \sin\frac{x}{2} + \cos\frac{x}{2} \right)^2 , \text{ find } \frac{dy}{dx} at x = \frac{\pi}{6} .\]


\[If y = \sqrt{\frac{x}{a}} + \sqrt{\frac{a}{x}}, \text{ prove that } 2xy\frac{dy}{dx} = \left( \frac{x}{a} - \frac{a}{x} \right)\]  


If for f (x) = λ x2 + μ x + 12, f' (4) = 15 and f' (2) = 11, then find λ and μ. 


x3 sin x 


xn tan x 


logx2 x


(2x2 − 3) sin x 


x−4 (3 − 4x−5)


x−3 (5 + 3x) 


(ax + b)n (cx + d)n 


\[\frac{x}{1 + \tan x}\] 


\[\frac{2^x \cot x}{\sqrt{x}}\] 


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


\[\frac{\sqrt{a} + \sqrt{x}}{\sqrt{a} - \sqrt{x}}\] 


\[\frac{a + \sin x}{1 + a \sin x}\] 


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


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


Mark the correct alternative in of the following:

Let f(x) = x − [x], x ∈ R, then \[f'\left( \frac{1}{2} \right)\]


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 \[y = \frac{1 + \frac{1}{x^2}}{1 - \frac{1}{x^2}}\] then \[\frac{dy}{dx} =\] 


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 


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×