English

If y = 13x2-2x-1, then dddydx = ? - Mathematics and Statistics

Advertisements
Advertisements

Question

If y = `1/sqrt(3x^2 - 2x - 1)`, then `("d"y)/("d"x)` = ?

Options

  • `(-2)/3 (3x - 2) (3x^2 - 2x - 1)^((-3)/2)`

  • `(-3)/2 (3x - 2) (3x^2 - 2x - 1)^((-3)/2)`

  • `(3x - 1) (3x^2 - 2x - 1)^((-3)/2)`

  • `-(3x - 1) (3x^2 - 2x - 1)^((-3)/2)`

MCQ

Solution

`bb(-(3x - 1) (3x^2 - 2x - 1)^((-3)/2))`

shaalaa.com
  Is there an error in this question or solution?
Chapter 1.3: Differentiation - Q.1

RELATED QUESTIONS

If y = eax. cos bx, then prove that

`(d^2y)/(dx^2) - 2ady/dx + (a^2 + b^2)y` = 0


if `y = tan^2(log x^3)`, find `(dy)/(dx)`


Find the second order derivatives of the following : xx 


Find `"dy"/"dx"` if, y = log(10x4 + 5x3 - 3x2 + 2)


If `"x"^"m"*"y"^"n" = ("x + y")^("m + n")`, then `"dy"/"dx" = "______"/"x"`


Differentiate `"e"^("4x" + 5)` with respect to 104x.


If y = f(u) is a differentiable function of u and u = g(x) is a differentiable function of x such that the composite function y = f[g(x)] is a differentiable function of x, then `("d"y)/("d"x) = ("d"y)/("d"u)*("d"u)/("d"x)`. Hence find `("d"y)/("d"x)` if y = sin2x


State whether the following statement is True or False:

If y = ex, then `("d"y)/("d"x)` = ex 


Find `("d"y)/("d"x)`, if y = (6x3 – 3x2 – 9x)10 


If y = `(cos x)^((cosx)^((cosx))`, then `("d")/("d"x)` = ______.


If f(x) = |cos x|, find f'`((3pi)/4)`


y = `sec (tan sqrt(x))`


Let f(x) = log x + x3 and let g(x) be the inverse of f(x), then |64g"(1)| is equal to ______.


If y = em sin–1 x and (1 – x2) = Ay2, then A is equal to ______.


If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`


Find `dy/dx` if ,

`x= e^(3t) , y = e^(4t+5)`


If f(x) = `sqrt(7*g(x) - 3)`, g(3) = 4 and g'(3) = 5, find f'(3).


If y = f(u) is a differentiable function of u and u = g(x) is a differentiate function of x such that the composite function y = f[g(x)] is a differentiable function of x then prove that

`dy/dx = dy/(du) xx (du)/dx`

Hence find `dy/dx` if y = log(x2 + 5)


Solve the following:

If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`


If `y=root5((3x^2+8x+5)^4)`, find `dy/dx`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×