मराठी

Differentiate the following w. r. t. x. : x3 .3x - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Differentiate the following w. r. t. x. : x3 .3x

बेरीज

उत्तर

Let y = x3 3x
Differentiating w.r.t. x, we get

`dy/dx = d/dx (x^3 3^x)`

= `x^3d/dx(3^x) + 3^x d/dx(x^3)`

= (x3)(3x log 3) + 3x(3x2)

= x2 3x (xlog3 + 3)

shaalaa.com
Definition of Derivative and Differentiability
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differentiation - Exercise 9.1 [पृष्ठ १२०]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 9 Differentiation
Exercise 9.1 | Q III. (4) | पृष्ठ १२०

संबंधित प्रश्‍न

Find the derivative of the following function w.r.t. x.:

x–9


Find the derivative of the following functions w. r. t. x.:

`x^(3/2)`


Find the derivative of the following function w. r. t. x.:

`7xsqrt x`


Differentiate the following w. r. t. x.: x5 + 3x4


Differentiate the following w. r. t. x. : ex log x


Find the derivative of the following w. r. t. x by using method of first principle:

x2 + 3x – 1


Find the derivative of the following w. r. t. x by using method of first principle:

3x 


Find the derivative of the following w. r. t. x by using method of first principle:

log (2x + 5)


Find the derivative of the following w. r. t. x by using method of first principle:

tan (2x + 3)


Find the derivative of the following w. r. t. x by using method of first principle:

`x sqrt(x)`


Find the derivative of the following w. r. t. x. at the point indicated against them by using method of first principle:

`sqrt(2x + 5)` at x = 2


Find the derivative of the following w. r. t. x. at the point indicated against them by using method of first principle:

`2^(3x + 1)` at x = 2


Find the derivative of the following w. r. t. x. at the point indicated against them by using method of first principle:

`"e"^(3x - 4)` at x = 2


Examine the function

f(x) `{:(= x^2 cos (1/x)",", "for"  x ≠ 0),(= 0",", "for"  x = 0):}`

for continuity and differentiability at x = 0


Select the correct answer from the given alternative:

If f(x) `{:( = x^2 + sin x + 1, "for"  x ≤ 0),(= x^2 - 2x + 1, "for"  x ≤ 0):}` then


Determine all real values of p and q that ensure the function

f(x) `{:( = "p"x + "q"",", "for"  x ≤ 1),(= tan ((pix)/4)",", "for"  1 < x < 2):}` is differentiable at x = 1


Discuss whether the function f(x) = |x + 1| + |x  – 1| is differentiable ∀ x ∈ R


Test whether the function f(x) `{:(= 5x - 3x^2",", "for"  x ≥ 1),(= 3 - x",", "for"  x < 1):}` is differentiable at x = 1


If y = `"e"^x/sqrt(x)` find `("d"y)/("d"x)` when x = 1


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×