Derivative Gateway Exam Practice Problems (a.k.a. Differentiation Gateway Exam for Calculus 1)

(0:00) Introduction
(1:23) 1, derivative of constants, writing roots as powers, Power Rule, Chain Rule.
(7:23) 2, exponential and trigonometric derivatives, Chain Rule, Product Rule.
(12:20) 3, derivative of power function (Power Rule) and exponential, Quotient Rule.
(15:33) 4, writing root as a power, general exponential function, Power Rule, Product Rule, Chain Rule.
(18:30) 5, use algebra and inverse functions to rewrite before differentiation with Power Rule (could also use Quotient Rule).
(20:47) 6, Power Rule.
(21:40) 7, writing root as a power, reciprocal of sine (cosecant), inverse sine (arcsine) function, logarithm, Chain Rule (applied twice to one term).
(26:06) 8, arcsine (inverse sine) function, secant (reciprocal of cosine), Product Rule, Chain Rule.
(29:39) 9, tangent, inverse tangent (arctangent), exponential, trigonometric, Chain Rule.
(32:17) 10 (the hardest one), power, exponential, trigonometric, logarithm, Chain Rule, Product Rule, Quotient Rule.

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