Chain Rule Practice Worksheet
A Grade 12 Calculus worksheet focusing on applying the Chain Rule to various functions, including trigonometric, exponential, and polynomial functions.
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Chain Rule Practice Worksheet
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Read each question carefully and show all your work. Apply the Chain Rule to find the derivative of each function.
1. Find the derivative of the function f(x) = (3x² + 5)⁴.
2. Differentiate g(x) = √(2x - 7).
3. The derivative of h(x) = sin(4x) is .
4. If k(x) = cos(x³), then k'(x) = .
5. What is the derivative of y = e^(2x+1)?
e^(2x+1)
2e^(2x+1)
(2x+1)e^(2x)
e^(2)
6. Find the derivative of f(x) = (x² + 1)³ * (2x - 3)².
7. The derivative of y = ln(x²) is 2/x.
True
False
8. The volume of a spherical balloon is increasing at a rate of 10 cm³/s. How fast is the radius increasing when the radius is 5 cm? (Hint: V = (4/3)πr³)
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