The derivative of h ( x ) h(x) h ( x ) with respect to x x x is h ′ ( x ) = − 3 sin 3 x h'(x) = -3\sin 3x h ′ ( x ) = − 3 sin 3 x. 2) Give learn a step-by-step method for solving those problems. The inner function is h ( x ) = cos 3 x h(x) = \cos 3x h ( x ) = cos 3 x. Try my free to use AP Calculus Study Guide to: 1) Help you learn how to identify the type of problem you are looking at. The derivative of g ( h ( x ) ) g(h(x)) g ( h ( x )) with respect to h ( x ) h(x) h ( x ) is g ′ ( h ( x ) ) = 2 h ( x ) g'(h(x)) = 2h(x) g ′ ( h ( x )) = 2 h ( x ). The outer function is g ( h ( x ) ) = h ( x ) 2 g(h(x)) = h(x)^2 g ( h ( x )) = h ( x ) 2, where h ( x ) = cos 3 x h(x) = \cos 3x h ( x ) = cos 3 x. The derivative of g ( h ( x ) ) g(h(x)) g ( h ( x )) with respect to h ( x ) h(x) h ( x ) is g ′ ( h ( x ) ) = 8 h ( x ) g'(h(x)) = 8h(x) g ′ ( h ( x )) = 8 h ( x ). It includes 6 practice tests with thorough explanations (5 in the book and 1 online). It has been fully revised for the latest version of the exam, and includes a comprehensive content review for all test topics. The AP Calculus AB exam is three hours long and has two sections: a multiple-choice section and and free-response section. The outer function is g ( h ( x ) ) = 4 ( h ( x ) ) 2 g(h(x)) = 4(h(x))^2 g ( h ( x )) = 4 ( h ( x ) ) 2, where h ( x ) = 5 x 3 + 2 x 2 + h(x) = 5x^3 + 2x^2 + h ( x ) = 5 x 3 + 2 x 2 + 6. Princeton Review’s Premium Edition AP Calculus AB study guide is an excellent option. To find the derivative of f ( x ) f(x) f ( x ) using the chain rule, we need to find the derivative of the outer function and the inner function, then apply the chain rule. Now that you understand the basics of the Chain Rule, let’s practice applying it in the problems below.
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