हिंदी

If x and y are connected parametrically by the equations, without eliminating the parameter, find dy/dx. x = 4t, y = 4/y

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प्रश्न

If x and y are connected parametrically by the equations, without eliminating the parameter, find `bb(dy/dx)`.

x = 4t, y = `4/y`

योग
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उत्तर

Given, x = 4t and y = `4/t`

Differentiating both sides with respect to t,

`dx/dt` = 4 and `dy/dt = (-4)/t^2`

Hence, `dy/dx = (dy/dt)/(dx/dt)`

= `((-4)/t^2)/4`

= `(- 1)/t^2`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.6 [पृष्ठ १८१]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.6 | Q 4 | पृष्ठ १८१

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