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$\frac{2x\sin\left(x\right)+\sin\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}+\tan\left(3x\right)=0$
Learn how to solve definition of derivative problems step by step online. \frac{\left(\sin 2x+sin 4x\right)}{\left(sin 2x - sin 4x\right)}+\frac{tan 3x}{tan x}=0. Math interpretation of the question. Find the derivative of 0 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 0. Substituting f(x+h) and f(x) on the limit, we get. Add the values 0 and 0. Zero divided by anything is equal to zero.