Evaluate each of the following. $\frac{\mathrm{d}}{\mathrm{d}x}\left[x^2(2x+2)^3\right]$ \(\frac{\

Question

Evaluate each of the following. $\frac{\mathrm{d}}{\mathrm{d}x}\left[x^2(2x+2)^3\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[(2x+4)(5-x)^4\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[(4x-1)(2x+1)^8\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[(1+2x^2)^2(3x-1)^3\right]$

Accepted Answer

(i) $8x(x+1)^2(5x+2)$ (ii) $-2(5-x)^3(5x+3)$ (iii) $12(2x+1)^7(6x-1)$ (iv) $(1+2x^2)(3x-1)^2(42x^2-8x+9)$

Techniques of Differentiation - Product Rule

Techniques of Differentiation - Product Rule

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