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If y=x^(4), find (d^(2)y)/(dx^(2))and(d^...

If `y=x^(4)`, find `(d^(2)y)/(dx^(2))and(d^(3)y)/(dx^(3))`.

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`y=x^(4)`. Now differentiating we get : `(dy)/(dx)=4x^(3)` Similarly, `(d^(3)y)/(dx^(3))=24x`
Again differentiating , `(d^(2)y)/(dx^(2))=12x^(2)`
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