Question

differentiation class 11​

Answer 1

Answer:

aⁿ = naⁿ⁻¹                               solving y separately↓

1) d/dy ($3y^{2/3}$) = 3× 2/3  × $y^{2/3 - 1} = y^{-1/3} = 1 / y^{1/3} = y^{3}$

                      = 2y³

2) d / dt ( t² + t³ + t⁴) = 2t + 3t² + 4t³

3) d / dx ( $x^{3/2} + 2x^{1/2}$) = {3/2 × x$^{3/2 - 1}$ }+ {2× 1/2 × x$^{1/2 - 1}$  )

                                     = 3x$^{1/2}$ / 2 + x$^{-1 / 2}$

                                     = 3√x / 2 + 1 / √x

                                     = 3x + 2 / 2√x

Answer 2

Answer:

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