3 4 let f x continued on the other side 1 1 12

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t f (x) = (continued on the other side) 1 1 [12] 5. Find the derivatives of the following functions (you don’ need to simplify the …nal answer, but you must show how t you calculate it): (a) f (x) = 3x2=3 1 + x3 (b) f (x) = ex (sin x cos x) q p (c) f (x) = x + x2 + 1 (d) f (x) = ln(1 + arctan x) 1 . x (a) Use the de…nition of derivative [6] 6. Let f (x) = f (x+h) f (x) h h!0 f 0 (x) = lim to …nd f 0 (2). (b) Find the equation of the tangent line T (x) to the graph of f (x) at the point (2; f (2)). [3] Bonus Question. Use the de…nition jxj = p x2 and the Chain Rule to show that if f (x) = j sin xj sin x cos x whenever sin x 6= 0. j sin xj What can you say about f 0 (x) when sin x = 0 ? then f 0 (x) = 2...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online