## An Elementary Treatise on the Differential and Integral Calculus |

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### Contents

DIFFERENTIAL CALCULUS | 1 |

Differential of a Compound Function of one Variable | 7 |

Examples of Differentiation | 14 |

25 other sections not shown

### Common terms and phrases

arbitrary constant assumed become circle co-ordinates complete integral constant quantity contain cos0 cos2 cosine curved surface determined Differential Calculus differential equation dm dn dp dp dP dQ dp.dx dV dV dv dx dv dy dx dx dx dx dy dx.dy dy dp dy dv dy dx dy dy dy dz dz dz eliminate evident exact derivative follows fraction fx(a given differential coefficient homogeneous function independent variable infinite latus rectum Let the curve logarithm manner obtain perpendicular polar curve powers primitive equation proposed differential proposed equation putting radius of curvature second term series of terms sin0 sin2 sinm substituting subtangent supposed supposition taken with respect tangent plane Taylor's Theorem Theorem variable quantities vinculum whence it appears