13) Give a function that requires three applications of the chain rule to differentiate. Then differentiate the function. Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com.
Calculus I - Chain Rule (Practice Problems) - Pauls Online Math …
2022年11月16日 · Here is a set of practice problems to accompany the Chain Rule section of the Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University.
For each problem, you are given a table containing some values of differentiable functions f (x) , g(x) and their derivatives. Use the table data and the rules of differentiation to solve each problem.
Find the derivative of each of the following functions. Do your work on a separate page. y ' 5 2 x 4 x. 15. 7 x 2 16. x 7 2 x 17. 18.
Worksheet: The Chain Rule This worksheet has questions using The Chain Rule: the method of differentiating composite functions. Using the chain rule is a common in calculus problems. It is also one of the most frequently used rules in more advanced calculus techniques such as implicit and partial differentiation.
Chain Rule worksheet MATH 1500 Find the derivative of each of the following functions by using the chain rule. 1. log13 (8x3 +8) 2. ¡cos(4x+9) 3. (sin(x))100 4. ¡cos(ln(4x)) 5. (¡9x2 +3x+5)100 6. pp x 7. tan(ln(4x)) 8. cos(ln(x)) 9. 2¡9x2+3x+5 10. (ln(4x))10 11. cot(¡9x2 +3x+5) 12. p 4x+9 13. (ln(4x))100 14. eln(x) 15. sin(e6x) 16. 1 ln(4x ...
Calculus Worksheets | Chain Rule Worksheets - Math-Aids.Com
These Calculus Worksheets will produce problems that involve using the chain rule to differentiate functions. The student will be given composite functions and will be asked to differentiate them using the chain rule.
Differentiate each function with respect to x. = ( 4 x3 + 5) = (Rules of logarithms used) Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com.
Derivatives Moderate Chain Rule 1. dx d cos 2x 2. dx d 2x +5 3. dx d 3 4. dx d sin x 5. dx d e 6. dx d ln x −5x 7. dx d 2x −1 8. dx d 4x−3 9. dx d 2x+6 10. dx d tan 2x
Chain Rule & Implicit Di erentiation Worksheet 1. Use the given table to answer the following questions. x f(x) f0(x) g(x) g0(x) 1 2 3 2 3 2 0 4 1 5 (a) Let h(x) = f(g(x)). Compute h0( 1). (b) Let h(x) = [f(x)]2. Compute h0(2). (c) Let h(x) = [g(f(x))]3. Compute h0( 1). For problems 2-7, di erentiate. 2. f(x) = (3x4 7)10 3. y = cos(1 x) 4. g(x ...
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