Derivatives - Implicit Differentiation - Chain Rule
Free Calculus Worksheet - Derivatives - Implicit Differentiation - Chain Rule
Lesson:
To find derivatives of functions using the chain rule and implicit differentiation
Subject:
Calculus
Description:
This free calculus worksheet contains problems where students must use the rules of differentiation such as the product rule, quotient rule, and chain rule to find the derivatives of functions. A couple problems contain trigonometry functions. Other problems contain functions with two variables and require the use of implicit differentiation to solve.
# of Problems: 16
# of Pages: 4
Answer Key?: Yes
Sample Problems from Worksheet
(Worksheet pictures and diagrams not shown)
Tutor-USA.com Worksheet
Calculus – Differentiation – Implicit Derivatives
Find the derivative of the function.
1) f(x) = 4x½ + 5x½
2) g(x) = √(1 + 4x2)
6) g(r) = cot√(3r)
Find dy/dx.
9) x2 + y2 = 16
10) x3 + y3 = 8xy
14) y = cos(x - y)
16) x sin y + y cos x = 1
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