हिंदी

State whether the following statement is True or False: If x = 5m, y = m, where m is parameter, then dydx=15 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State whether the following statement is True or False:

If x = 5m, y = m, where m is parameter, then `("d"y)/("d"x) = 1/5`

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

True

shaalaa.com
Derivatives of Parametric Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Differentiation - Q.3

संबंधित प्रश्न

Find `"dy"/"dx"`, if x = at2, y = 2at


Find `"dy"/"dx"`, if x = `sqrt(1 + "u"^2), "y" = log (1 + "u"^2)`


Solve the following.

If x = `"a"(1 - 1/"t"), "y" = "a"(1 + 1/"t")`, then show that `"dy"/"dx" = - 1`


If x = `(4t)/(1 + t^2),  y = 3((1 - t^2)/(1 + t^2))` then show that `dy/dx = (-9x)/(4y)`.


If x = t . log t, y = tt, then show that `dy/dx - y = 0`.


If x = `y + 1/y`, then `dy/dx` = ____.


If x sin(a + y) + sin a cos(a + y) = 0 then show that `("d"y)/("d"x) = (sin^2("a" + y))/(sin"a")`


Choose the correct alternative:

If x = 2am, y = 2am2, where m be the parameter, then `("d"y)/("d"x)` = ? 


If x = `"a"("t" - 1/"t")`, y = `"a"("t" + 1/"t")`, where t be the parameter, then `("d"y)/("d"x)` = ?


State whether the following statement is True or False:

If x = 2at, y = 2a, where t is parameter, then `("d"y)/("d"x) = 1/"t"`


If x = `(4"t")/(1 + "t"^2)`, y = `3((1 - "t"^2)/(1 + "t"^2))`, then show that `("d"y)/("d"x) = (-9x)/(4y)` 


If x = `sqrt(1 + u^2)`, y = `log(1 + u^2)`, then find `(dy)/(dx).`


Find `dy/dx`  if,  `x = e^(3t) , y = e^sqrtt`


Find `dy/dx` if, x = e3t, y = `e^((4t + 5))`


Find the derivative of 7x w.r.t.x7


Find `dy/dx` if, x = `e^(3t)`, y = `e^(4t+5)`


If x = f(t) and y = g(t) are differentiable functions of t, so that y is function of x and `(dx)/dt ≠ 0` then prove that `dy/(dx) = (dy/dt)/((dx)/dt)`. Hence find `dy/(dx)`, if x = at2, y = 2at.


Find `dy/dx if, x = e^(3t),y=e^((4t+5))`


 Find `dy/dx if,x = e^(3^T), y = e^((4t + 5)`


Find `dy/dx` if x= `e^(3t)`, y =`e^((4t+5))`


Find `dy/dx if, x= e^(3t)"," y = e^((4t+5))`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×