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Apply the formula: $\frac{d}{dx}\left(cx\right)$$=c\frac{d}{dx}\left(x\right)$
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$2\frac{d}{dx}\left(x^3\mathrm{tanh}\left(\frac{1}{x^2}\right)\right)$
Learn how to solve problems step by step online. d/dx(2x^3tanh(1/(x^2))). Apply the formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right). Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=x^3\mathrm{tanh}\left(\frac{1}{x^2}\right), a=x^3, b=\mathrm{tanh}\left(\frac{1}{x^2}\right) and d/dx?ab=\frac{d}{dx}\left(x^3\mathrm{tanh}\left(\frac{1}{x^2}\right)\right). Apply the formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Apply the trigonometric identity: \frac{d}{dx}\left(\mathrm{tanh}\left(\theta \right)\right)=\mathrm{sech}\left(\theta \right)^2\frac{d}{dx}\left(\theta \right), where x=\frac{1}{x^2}.
