Log Properties - AP Calculus - Lecture Notes, Study notes of Calculus

This lecture is from AP Calculus. Key important points are: Log Properties, Trignometry, Principles of Derivation, Expand, Ignore, Derivative

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

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Calculus Section 5.1B LT: Use log properties before differentiating Notes e Expand the expression as much as possible before differentiating e “Ignore” absolute value (just leave it): it just makes the domain positive Examples Find the derivative. 1) y = In[x(x? + 3)3] w=lnx+ 31a (xt+3) in wl 3 (zx) gee 2 G8, (Le Bo] sinx 2) = In |———_ ¥ a sinx + 1 y= In(gin y) - (n (S16 x41) 4 cos KX les x aa ein XxX Sin X+! fis “3 cos x Wy eet Baer LT: Write the equation of the tangent line Examples Write an equation of the line tangent to the graph of the function at the given point. Use the graphing calculator to confirm your result. | w-4= ACK - n 3) f(x) = 4x" +Inx; (1,4) \ =4x-3 4'cx) = x * =z » m =f) = 4 1/1