English

Find the derivative of the following function w.r.t. x. : x–9 - Mathematics and Statistics

Advertisements
Advertisements

Question

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

x–9

Sum

Solution

Let y = x–9
Differentiating w.r.t. x, we get

`dy/dx = d/dx x^-9`

= -9 x -9-1
= –9 x –10

shaalaa.com
Definition of Derivative and Differentiability
  Is there an error in this question or solution?
Chapter 9: Differentiation - Exercise 9.1 [Page 120]

APPEARS IN

RELATED QUESTIONS

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

`7xsqrt x`


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

35


Differentiate the following w. r. t. x. : `sqrtx (x^2 + 1)^2`


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:

sin (3x)


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:

tan (2x + 3)


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

sec (5x − 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


Show that the function f is not differentiable at x = −3, where f(x) `{:(=  x^2 + 2, "for"  x < - 3),(= 2 - 3x, "for"  x ≥ - 3):}`


Select the correct answer from the given alternative:

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


Select the correct answer from the given alternative:

If f(x) `{:(= 2x + 6, "for"  0 ≤ x ≤ 2),(= "a"x^2 + "b"x, "for"  2 < x ≤4):}` is differentiable at x = 2 then the values of a and b are


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):}`


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×