Advertisements
Advertisements
प्रश्न
If x = `"a"("t" - 1/"t")`, y = `"a"("t" + 1/"t")`, where t be the parameter, then `("d"y)/("d"x)` = ?
पर्याय
`x/y`
`(-x)/y`
`y/x`
`(-y)/x`
उत्तर
`bb(x/y)`
APPEARS IN
संबंधित प्रश्न
Find `"dy"/"dx"`, if x = 2at2 , y = at4
Find `"dy"/"dx"`, if x = `("u" + 1/"u")^2, "y" = (2)^(("u" + 1/"u"))`
Find `"dy"/"dx"`, if x = `sqrt(1 + "u"^2), "y" = log (1 + "u"^2)`
Find `"dy"/"dx"`, if Differentiate 5x with respect to log x
If x = t . log t, y = tt, then show that `"dy"/"dx" - "y" = 0`
Choose the correct alternative.
If x = 2at2 , y = 4at, then `"dy"/"dx" = ?`
If x = `y + 1/y`, then `dy/dx` = ____.
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`
If x = `(4"t")/(1 + "t"^2)`, y = `3((1 - "t"^2)/(1 + "t"^2))`, then show that `("d"y)/("d"x) = (-9x)/(4y)`
Find `dy/dx` if, x = e3t, y = `e^((4t + 5))`
If x = f(t) and y = g(t) are differentiable functions of t, then prove that:
`dy/dx = ((dy//dt))/((dx//dt))`, if `dx/dt ≠ 0`
Hence, find `dy/dx` if x = a cot θ, y = b cosec θ.
Suppose y = f(x) is differentiable function of x and y is one-one onto, `dy/dx ≠ 0`. Also, if x = f–1(y) is differentiable, then prove that `dx/dy = 1/((dy/dx))`, where `dy/dx ≠ 0`
Hence, find `d/dx(tan^-1x)`.
Find `dy/dx` if, x = `e^(3t)`, y = `e^(4t+5)`
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))`
Find `dy/dx` if, x = `e^(3t)`, y = `e^((4t + 5))`.
