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Let’s check out your problem:

d. y=sqrt(tan^(-1)(3x))

d. y=tan⁡−1(3x) y=\sqrt{\tan ^{-1}(3 x)}

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Full solution

Q. d. y=tan⁡−1(3x) y=\sqrt{\tan ^{-1}(3 x)}
  1. Square both sides: Square both sides to get rid of the square root. y2=tan⁡−1(3x)y^2 = \tan^{-1}(3x)
  2. Apply tangent function: Now, apply the tangent function to both sides to isolate the term with xx.tan⁡(y2)=3x\tan(y^2) = 3x
  3. Divide by 33: Divide both sides by 33 to solve for xx.x=tan⁡(y2)3x = \frac{\tan(y^2)}{3}

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