For the function below, write the differential. f(x) = ln(1 + x) dy: 2x 1+x dy=...

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For the function below, write the differential. f(x) = ln(1 + x²) dy: 2x 1+x² dy= › ) dx Calculate dy for the given values of x and dx. x = 2 and dx = 0.2 X How accurate is dy in approximating Ay (i.e., what is their difference) to the nearest thousandth? The differential dy = df(x) = f'(x)dx is an approximation of Ay for any given x and dx. How is x₂ found from x₁ and dx? Recall Ay = f(x₂) - f(x1). Use differentials or Linear Approximation to approximate the value shown (note each method will give the same result for your chosen x = a). (Round your answer to four decimal places.) In(0.95) Error X For the function below, write the differential. f(x) = ln(1 + x²) dy: 2x 1+x² dy= › ) dx Calculate dy for the given values of x and dx. x = 2 and dx = 0.2 X How accurate is dy in approximating Ay (i.e., what is their difference) to the nearest thousandth? The differential dy = df(x) = f'(x)dx is an approximation of Ay for any given x and dx. How is x₂ found from x₁ and dx? Recall Ay = f(x₂) - f(x1). Use differentials or Linear Approximation to approximate the value shown (note each method will give the same result for your chosen x = a). (Round your answer to four decimal places.) In(0.95) Error X