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Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'

Answer :

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

Learn more about Logarithmic differentiation: brainly.com/question/30881276

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