The Generalized Product Rule Let u, v and w be differentiable function in x. (a) State the product rule for (uv)′. (b) Use the product rule to compute the formula for the derivative of uvw. (c) What is the formula for the derivative of the product u1u2u3u4 of four differentiable function of x?
The Generalized Product Rule Let u, v and w be differentiable function in x. (a) State the product rule for (uv)′. (b) Use the product rule to compute the formula for the derivative of uvw. (c) What is the formula for the derivative of the product u1u2u3u4 of four differentiable function of x?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The Generalized Product Rule
Let u, v and w be differentiable function in x.
(a) State the product rule for (uv)′.
(b) Use the product rule to compute the formula for the derivative of uvw.
(c) What is the formula for the derivative of the product u1u2u3u4 of four differentiable function of x?
- (d) What is the formula for the derivative of the product u1u2u3...un of a finite number n of differentiable function of x?
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