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

Question

Evaluate each of the following. $\frac{\mathrm{d}}{\mathrm{d}x}\left[(1-3x)^{4}(5x-1)^{2}\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[(4x-3)^{3}(5x+7)^{6}\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[(x+7)^{2}(2-x^{2})\right]$ $\frac{\mathrm{d}}{\mathrm{d}x}\left[\sqrt{x}(x^{2}+2)^{5}\right]$

Accepted Answer

(i) $2(1-3x)^3(5x-1)(11-45x)$ (ii) $6(4x-3)^2(5x+7)^5(30x-1)$ (iii) $2(x+7)(-2x^2-7x+2)$ (iv) $\dfrac{(x^2+2)^4(21x^2+2)}{2\sqrt{x}}$

Techniques of Differentiation - Product Rule

Techniques of Differentiation - Product Rule

Video Solution:

Solution:

Solution locked