Calculus 1000A/B Study Guide - Final Guide: Differentiable Function, Antiderivative, Scientific Notation

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Harper

Document Summary

Logarithms to simplify: differentiate implicitly with respect to x, solve the resulting equation for y". If n is any real number and f(x) = xn f"(x) = nxn-1. Exponent derivatives d dx (ab)=0(a bare bothconstants) f (x) f ( x) b 1 f " (x) d dx. 4. d dx [ag(x )]=ag(x )lna(g" ( x)) f ( x) g( x) ,logarithmic differentiation canbeused. The number e as a limit e=lim x 0 e=lim x (1+x) (1+ 1 n n. Strategies for solving: read the problem carefully, draw a diagram if possible. 3: express the given information and the required rate in terms of derivatives, write an equation that relates the various quantities of the problem. The linear approximation or tangent line approximation is a linear tangent line which touches a function at a point a used to calculate f(a) of a function.