मराठी

3x + X3 + 33

Advertisements
Advertisements

प्रश्न

3x + x3 + 33

Advertisements

उत्तर

\[\frac{d}{dx}\left( 3^x + x^3 + 3^3 \right)\]
\[ = \frac{d}{dx}\left( 3^x \right) + \frac{d}{dx}\left( x^3 \right) + \frac{d}{dx}\left( 3^3 \right)\]
\[ = 3^x \log 3 + 3 x^2 + 0\]
\[ = 3^x \log 3 + 3 x^2\]

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 2 | पृष्ठ ३३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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+ q) (r/s + s)`


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/x^4 = b/x^2 + cos x`


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


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


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


 (x2 + 1) (x − 5)


x ex


Differentiate of the following from first principle:

(−x)−1


Differentiate  of the following from first principle:

sin (2x − 3)


Differentiate each  of the following from first principle:

\[e^\sqrt{2x}\]


tan2 x 


 tan 2x 


\[\sin \sqrt{2x}\]


ex log a + ea long x + ea log a


\[\left( x + \frac{1}{x} \right)\left( \sqrt{x} + \frac{1}{\sqrt{x}} \right)\] 


2 sec x + 3 cot x − 4 tan x


\[\frac{1}{\sin x} + 2^{x + 3} + \frac{4}{\log_x 3}\] 


\[\text{ If } y = \left( \frac{2 - 3 \cos x}{\sin x} \right), \text{ find } \frac{dy}{dx} at x = \frac{\pi}{4}\]


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


x2 ex log x 


sin x cos x


(2x2 − 3) sin x 


x−4 (3 − 4x−5)


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)


\[\frac{a + \sin x}{1 + a \sin x}\] 


\[\frac{3^x}{x + \tan x}\] 


\[\frac{1 + \log x}{1 - \log x}\] 


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


\[\frac{\sec x - 1}{\sec x + 1}\] 


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


Mark the correct alternative in of the following: 

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


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


(ax2 + cot x)(p + q cos x)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×