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Find (dy)/(dx) for the following : (i)...

Find `(dy)/(dx)` for the following :
(i) `y=x^(7//2)` (ii) `y=x^(-3)`
`(iii) y=x` (iv) `y=x^(5)+x^(3)+4x^(1//2)+7`
(v) `y=5x^(4)+6x^(3//2)+9x` (vi) `y=ax^(2)+bx+C`
`(Vii) `y=3x^(5)-3x-1/x`

Text Solution

Verified by Experts

The correct Answer is:
(i) `7/2 x^(5//2)` (ii) `-3x^(-4)` (iii) 1
`(iv) 5x^(4)+3x^(2)+2x^(-1//2)` (v) `20x^(3)+9x^(1//2)+9` (vi) `2ax+b`
`(vii) 15x^(4)-3+1/(x^(2))`
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Obtian (dy)/(dx) for the following : y=5x^(4)+6x^(3//2)+9x

Find dy/dx for the following functions: y=5x^4 + 3 x^(3/2) + 6x .

Knowledge Check

  • Find (dy)/(dx) if y = 5x^(4) + 6x^(3//2) + 9x .

    A
    `20 x^(3) + 9x^(3//2) + 9`
    B
    `20 x^(3) + 9x^(1//2)`
    C
    `20x^(3) + 9x^(3//2)`
    D
    `20x^(3) + 9x^(1//2) + 9`

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