Category: Differentiation

Question Number 25034 by chernoaguero@gmail.com last updated on 02/Dec/17 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\sin \mathrm{x}+\sec \mathrm{x}}{1+\mathrm{xtan}\mathrm{x}}$$$$$$$$\mathrm{find}{\mathrm{f}}^{\prime }\left(\mathrm{x}\right)$$ Answered by prakash jain last updated on 02/Dec/17 $$\frac{{d}}{{dx}}\:\frac{{u}}{{v}}=\frac{{u}'{v}−{v}'{u}}{{v}^{\mathrm{2}}…

Question Number 24913 by chernoaguero@gmail.com last updated on 28/Nov/17 $$\mathrm{find}\mathrm{the}\mathrm{derivative}\mathrm{of}$$$$(\sec \sqrt{1+\cos \mathrm{x})}$$ Commented by prakash jain last updated on 28/Nov/17 $$u=1+\cos x$$$${v}=\sqrt{\mathrm{1}+\mathrm{cos}\:{x}}…

Question Number 90407 by Tony Lin last updated on 23/Apr/20 $$\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{n^p}{n!}intermsofp$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 155857 by zainaltanjung last updated on 05/Oct/21 $$1).\mathrm{Find}\frac{\mathrm{dy}}{\mathrm{dx}},\mathrm{if}:$$$$\mathrm{a}).\mathrm{y}=(8\mathrm{x}-1)({\mathrm{x}}^2+4\mathrm{x}+7)$$$$\mathrm{b}).\mathrm{y}=({3\mathrm{x}}^4-10\mathrm{x}+8)({2\mathrm{x}}^2+5)$$$$$$$$2).\mathrm{Find}\mathrm{an}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{tangen}\mathrm{line}$$$$\:\:\:\:\:\:\:\:\:\mathrm{to}\:\mathrm{the}\:\mathrm{graph}\:\mathrm{of}\:\mathrm{y}=\frac{\mathrm{5}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:\mathrm{at}\:\mathrm{each}\:\mathrm{point} \…

Question Number 90307 by niroj last updated on 22/Apr/20 $$\mathbf{Solve}\mathbf{the}\mathbf{differential}\mathbf{equation}.$$$$({\mathbf{x}}^2{\mathbf{D}}^2-2)\mathbf{y}={\mathbf{x}}^2+\frac{1}{\mathbf{x}}.$$ Answered by TANMAY PANACEA. last updated on 22/Apr/20…