Calculus I - Product and Quotient Rule (Practice Problems)
2022年11月16日 · Here is a set of practice problems to accompany the Product and Quotient Rule section of the Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University.
Ex: f = 4, g = 2 x, − ≠ 0 x2. Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com.
Worksheet by Kuta Software LLC-3-Answers to Product and Quotient Rules (ID: 1) 1) dy dx = (2x2 + 1) × -8x - 4x2 × 4x = -32x3 - 8x 2) dy dx = (-2x2 + 3) × 8x3 + 2x4 × -4x = -24x5 + 24x3 3) dy dx = 3x3 × 20x4 + (4x5 + 2) × 9x2 = 96x7 + 18x2 4) dy dx = 2x3 × 20x3 + (5x4 + 5) × 6x2 = 70x6 + 30x2 5) dy dx = (x4 + 4) × 5x4 + (x5 + 2) × 4x3 ...
Quotient Rule worksheet MATH 1500 Find the derivative of each of the following functions by using the quotient rule. 1. 11 p x (5x2 +12x+1) 2. log12 (x) p x 3. ex (x3 +15) 4. 12 p x cot(x) 5. ln(x) (¡22x+8) 6. tan(x) p x 7. tan(x) (x3 +15) 8. cos(x) cot(x) 9. x31 cos(x) 10. (¡sin(x)) (5x2 +12x+1) 11. ex (¡cos(x)) 12. x100 cot(x) 13. ln(x) 14 ...
Directions: Find the derivative for each. f ′ ( x ) = ( 5 x + 1 )2.
PRODUCT RULE AND QUOTIENT RULE Differentiate. Use proper notation and simplify your final answers. In some cases it might be advantageous to simplify/rewrite first. Do not use rules found in later sections. 1. = + f x x x 3 ( ) (1 )( ) 2. 53 2 gt t t() ( 1) t ⎛⎞ =⎜⎟++ ⎝⎠ 3. 3 1 21 hy y y = ++ 4. 1 y x x = + 5. =2 y e x x 6. 2 3 1 5 ...
Calculus Worksheets | Quotient Rule Worksheets - Math-Aids.Com
These Calculus Worksheets will produce problems that involve using the quotient rule to differentiate functions. The student will be given rational functions and will be asked to differentiate them using the quotient rule.
The Quotient Rule In this worksheet, we will derive a formula for the derivative of a function of the form f(x) g(x). From here on out, let f(x) and g(x) be di erentiable functions. 1. Let Q(x) = f(x) g(x). By multiplying both sides of this equation by g(x) and then applying the product rule, nd a formula for f0(x) in terms of Q(x), Q0(x), g(x ...
Worksheet by Kuta Software LLC Calculus Derivatives - Sum, Power, Product, Quotient, Chain Rules Name_____ ©W X2P0m1q7S xKYu\tfa[ mSTo]fJtTwYa[ryeD OLHLvCr._ ` eAHlblD HrgiIg_hetPsL freeWsWehrTvie]dN.-1-Differentiate each function with respect to x. Problems may contain constants a, b, and c. 1) f (x) = 3x5 2) f (x) = x 3) f (x
2016年9月3日 · AP Calculus AB: Practice with Product and Quotient Rules Directions: Find the derivative. 1. y=(x2+1)(x3+1) 2 2. y= x2+5x!1 x 3. y=(1!x)(1+x2)!1 4. y= (x+1)(x+2) (x!1)(x!2) 5. y= x3+5x+7 x2+7x+9 6. y=(3x!2x2)(5+4x)
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