Pure Mathematics: Differential calculus and applications, Volume 4

2x dx 3x dy applying the rule cartesian equation cos2 cosec cosech x cosh 2x cosh x cosh2 cost cosx cot dx d²y d2y dx2 decimal places Determine the derivatives Determine the gradients Differential Calculus differential equation Differentiate the following Differentiate with respect dx dx dx dy dx dx Worked Example dy 1 dy dy dx dy dy dy dydx dydx Exercises f(xn following functions GCE A level giving your answer gradient graph hyperbolic functions indeterminate inverse hyperbolic functions Inverse Trigonometric Functions kx dx L'Hôpital's rule Level ISBN-13 lim x→0 ln 3x loge Maclaurin’s Expansions Maclaurin’s theorem Newton-Raphson method parametric equations quotient rule rate of change sec² sec² x sech2 second derivatives significant figures sin² sinh sinh 2x sinh2 sint Sketch the curve tan2 tangent and normal viii Xn+1 δν π π бу бх