Differentiation questions | form five Pure Advanced Mathematics

(3447) Question Category: Mathematical Calculation

  1. Differentiate from the first principles the function y=frac{2}{1+x^{2}}
  2. If  y=sqrt{frac{1+sin,x}{1-sin,x}}, show that frac{dy}{dx}=frac{1}{1-sin,x}

Answer / Solution

UNSOLVED

(3448) Question Category: Mathematical Calculation

Differentiate with respect to x

  1. lnfrac{(1+sin,x)}{1+sin,2x}
  2. cot(3x^{2}+2)

Answer / Solution

UNSOLVED

(3449) Question Category: Mathematical Calculation

Find the derivative of y=x^{sin,x}

Answer / Solution

UNSOLVED

(3450) Question Category: Mathematical Calculation

Differentiate

  1. log_{10}x^{2}
  2. tan^{-1}(coth,x)
  3. lnfrac{sin,x}{cos,2x}

Answer / Solution

UNSOLVED

(3451) Question Category: Mathematical Calculation

  1. Given the curve y^{2}+2xy-3x^{2}-5=0. Find the values of  frac{d^{2}y}{dx^{2}} at the point where x=1 and y has a positive value.
  2. Differentiate with respect to x given that y=(x^2+1)^{sin.x}

Answer / Solution

UNSOLVED

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