Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

Find the derivative of each of the following:

\(y = \sin 4x - \cos 5x\)
\(y = 6x^5 - \cos 5x + 4\)
\(\mathrm{f}(x) = \tan 5x^3 - \cos (x^2 + x) - 8\)

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Answer:(a) \(4\cos(4x)+5\sin(5x)\) (b) \(30x^4+5\sin(5x)\) (c) \(15x^2\sec^2(5x^3)+(2x+1)\sin(x^2+x)\)

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