Math Problem Statement
\frac{d^2y}{dx^2}\left[5sinx:+:3cosy:=:3\right]
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Quotient Rule
Chain Rule
Trigonometric Functions
Formulas
\frac{d}{dx}[5 \sin(x)] = 5 \cos(x)
\frac{d}{dx}[3 \cos(y)] = -3 \sin(y) \frac{dy}{dx}
\frac{d^2y}{dx^2} = \frac{-15 \sin(y) \sin(x) - 25 \cos(x)^2 \cos(y)}{9 \sin(y)^2}
Theorems
Quotient Rule
Chain Rule for differentiation
Suitable Grade Level
Grades 11-12
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