By Patrick Jones
1001 Calculus perform difficulties For Dummies takes you past the guide and information provided in Calculus For Dummies, supplying you with 1001 possibilities to perform fixing difficulties from the foremost themes on your calculus direction. Plus, an internet part provide you with a suite of calculus difficulties offered in multiple-choice structure to extra assist you try your abilities as you cross. The perform difficulties in 1001 Calculus perform difficulties For Dummies diversity in problem areas and magnificence, giving you the perform assist you have to rating excessive at examination time.
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Additional info for Calculus: 1,001 Practice Problems For Dummies
Example text
F(x) = 339. f ( x ) = sin3x x 340. f(x) = 341. f ( x ) = sec x 1 + sec x Assuming that g and h are differentiable functions, find an expression for the derivative of f ( x ) = [ g( x )h( x ) ] sin x. Using the Quotient Rule to Find Derivatives x2 3x − 2x + 1 2 ( x − 1)( x + 2 ) ( x − 3 )( x + 1) 332–351 Use the quotient rule to find the derivative. 332. f ( x ) = 2x + 1 3x + 4 333.
Memorizing many trigonometric identities is a good idea because they appear often in calculus problems. Given cot θ = −29 , where sin θ < 0, find 103–104 Evaluate sin θ , cos θ , and tan θ for the given right triangle. Remember to rationalize denominators that contain radicals. 103. = − 8 , where sin θ > 0 and 5 cosθ < 0, find sin ( 2θ ). cos ( 2θ ). Converting Degree Measure to Radian Measure 109–112 Convert the given degree measure to radian measure. 104. –315° 105–108 Evaluate the trig function.
Info 50 Part I: The Questions Using the Product Rule to Find Derivatives 312–331 Use the product rule to find the derivative of the given function. 312. 313. 314. f (x) = (sec x)(x + tan x) 320. f ( x ) = x 2 + x csc x 321. f (x) = 4x3 sec x 322. f ( x ) = cot1 2x x 323. Assuming that g is a differentiable function, find an expression for the derivative of f (x) = x2g(x). 324. Assuming that g is a differentiable function, find an expression for the derivative of 1 + x 2 g( x ) . f(x) = x 325. Find (fg)'(3) if f (3) = –2, f '(3) = 4, g(3) = –8, and g '(3) = 7.