मराठी

Find the derivative of the following function w. r. t. x. : 7xx - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

`7xsqrt x`

बेरीज

उत्तर

Let y = `7xsqrt x`

=` 7x^1x^(1/2)`

`y = 7x^(3/2)`

Differentiating w.r.t. x, we get

`dy/dx = d/dx7x^(3/2)`

= `7xx3/2x^(3/2-1)`

= `21/2 x^(1/2)`

=`21/2sqrtx`

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 I. (4) | पृष्ठ १२०

संबंधित प्रश्‍न

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

`x^(3/2)`


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


Differentiate the following w. r. t. x. : `x^(5/2) + 5x^(7/5)`


Differentiate the following w. r. t. x. : `x^(5/2) e^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:

e2x+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:

`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:

log(2x + 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 y = `("a"x + "b")/("c"x + "d")`, then `("d"y)/("d"x)` =


Determine whether the following function is differentiable at x = 3 where,

f(x) `{:(= x^2 + 2","  ,  "for"  x ≥ 3),(= 6x - 7"," ,  "for"  x < 3):}`


Find the values of p and q that make function f(x) differentiable everywhere on R

f(x) `{:( = 3 - x"," , "for"  x < 1),(= "p"x^2 + "q"x",", "for"  x ≥ 1):}`


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


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×