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Find the derivative of (i) 8x^(3) , (i...

Find the derivative of
(i) `8x^(3)` , (ii) `6sqrt(x)` , (iii) `5e^(x)`, (iv) `9 xx 2^(x)`

Text Solution

Verified by Experts

(i) `d/(dx) (8x)^(3) = 8.d/(dx) (x^(3)) = 8 xx 3x^(2) = 24x^(2)`.
(ii) `d/(dx) (6sqrt(x)) = 6.d/(dx) (x^(1//2)) = 6.(1)/(2)x^(-1//2) = 3/(sqrt(x))`.
(iii) `d/dx (5e^(x)) = 5.(d)/(dx) (e^(x)) = 5e^(x)`.
(iv) `d/(dx) (9.2^(x)) = 9.d/(dx) (2^(x)) = 9 xx 2^(x) (log 2)`.
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