For f(x) – tz, find du using the definition,=Δyf(x + Δz) - f(x)limΔε 10 ΔεΔε(a) First, evaluate Ay = f(x + Ar) - f(x) and express it in the form Ay = L(r, Ar) - Ar. Use da to represent Az.Ag =Δεdydzdy(b) Using the L(1, Ax) Az above, find the simplified derivative ddyΔylimΔε0 ΔεlimΔ110ΔylimΔε-0 Δε

Here we have to find the derivative of a function.

For f(x) – tz, find a using the definition, – Δε dy dr Δy lim Δε 0 Δε Δy f(x + Δz) - f(x) Δε lim Δε 0 Δε (a) First, evaluate Δy = f(x + Δz) - f(x) and express it in the form Δy = L(r, Δπ) · Δz. Use da to represent Δ.π. – Δy = dy (b) Using the L(x, Az) Az above, find the simplified derivative da dy = lim ΔΙΗ Δy lim Δε Δε

For f(x) – tz, find a using the definition, – Δε dy dr Δy lim Δε 0 Δε Δy f(x + Δz) - f(x) Δε lim Δε 0 Δε (a) First, evaluate Δy = f(x + Δz) - f(x) and express it in the form Δy = L(r, Δπ) · Δz. Use da to represent Δ.π. – Δy = dy (b) Using the L(x, Az) Az above, find the simplified derivative da dy = lim ΔΙΗ Δy lim Δε Δε

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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