Differentiation questions | form five Pure Advanced Mathematics

(3452) Question Category: Mathematical Calculation

Find frac{dy}{dx} and simplify your answer given that y=frac{e^x-1}{e^x+1}

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(3453) Question Category: Mathematical Calculation

Find frac{dy}{dx} if

  1. e^{xy}+x+y=1
  2. tanh^{-1}frac{2x}{1+x^2}

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(3454) Question Category: Mathematical Calculation

An error of 2% is made in measuring the radius of a sphere. What is the resulting percentage error in the calculation of its surface area?.

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(3455) Question Category: Mathematical Calculation

  1. If ln (x+y)=tan^{-1}(frac{x}{y})  find frac{dy}{dx}
  2. The pressure p and the volume v of an expanding gas are related by pv^{1.4}=k. If the volume increases by 0.3%, what is the corresponding percentage change in the pressure?

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(3456) Question Category: Mathematical Calculation

  1. If R=ar^{n}  where “a” is a constant and an error of x% is made in measuring r, prove that the resulting error in R is nx%.
  2. A curve is defined by parametric equations x=frac{t}{1+t^{2}}  and y=frac{1}{(t-1)} . Find frac{d^2y}{dx^2}

Answer / Solution

UNSOLVED

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