Question #180579

y = e^sin x tanh^-1 (4x^2)

find dy/dx


1
Expert's answer
2021-04-28T16:34:54-0400

For the function y=esinxtanh1(4x2)y = e^{\sin x} \tanh^{-1} (4x^2) let us find dydx:\frac{dy}{dx}:


dydx=esinxcosxtanh1(4x2)+esinx8x116x4.\frac{dy}{dx}=e^{\sin x}\cos x\tanh^{-1} (4x^2)+e^{\sin x}\frac{8x}{1-16x^4}.



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