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THEOREM 5 16 Derivatives of Inverse Trigonometric Functions Let u be a differentiable function of x arccos u arccot u I 142 arccsc u ul u2 In Exercises 39 58 find the derivative arcsin u 1 u2 arctan u arcsec u Finding a Derivative of the function 39 f x 2 arcsin x 1 44 f x arctanvG J x Z ark 4 at 46 h x x2 arctan 5x 14
Differentiation Inverse Trigonometric Functions Date Period Differentiate each function with respect to x 1 y cos 1 5x3 dy dx 1 1 5x3 2 15 x2 15 x2 1 25 x6 2 y sin 1 2x2 dy dx 1 1 2x 2 4x 4x 1 4x4 3 y tan 1 2x4 dy dx 1 2x4 2 1 8x3 8x3 4x8 1 4
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Derivative Worksheet With Answers Pdf Worksheet
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Derivatives of Inverse Trig Functions Our goal is simple and the answers will come quickly We will derive six new derivative formulas for the six inverse trigonometric functions dxhsin 1 x i d dxhtan 1 x i d dxhsec 1 x i d dxhcos 1 x i d
Inverse Trig Derivatives sin sec tan cos csc cot Find the derivative 1 sin 3 2 tan 3 arcsec 5 Simplifying Derivatives Simplify the following expressions 4 5 Domain of an inverse trig function Domain Range 1 1 Domain 1 Range 0 1 Domain Range
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Inverse Trig Functions Practice Worksheet With Answers Function
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7 z240 Q1g3s 9K8u Xtpa1 tS oIf rt PwNanr Yes 5LSL2C x G X FAulhlS qr tiEgWh3t Ps1 6reuswe3r JvKeEdX 9 L ZMka7dJe h jw Vihtsh M 2I Yn2fci 1n eiltpeZ JC iaVlyc 0uvl 7u tst t Worksheet by Kuta Software LLC Kuta Software Infinite Calculus Name Derivatives of Inverse Functions Date Period
Worksheet by Kuta Software LLC Calculus Derivatives and Integrals of Inverse Trig Functions Name Date Period 1 Differentiate each function with respect to x 1 f x tan 1 5x4 3 3 f x 1 5x4 3 3 2 1 3 5x4 3 2 20x3 60x3 5x4 3 2 5x4 3 6 1 2 f x csc 12x3 f x 1
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Differentiation Inverse Trigonometric Functions Date Period Differentiate each function with respect to x 1 y cos 1 5x3 dy dx 1 1 5x3 2 15 x2 15 x2 1 25 x6 2 y sin 1 2x2 dy dx 1 1 2x 2 4x 4x 1 4x4 3 y tan 1 2x4 dy dx 1 2x4 2 1 8x3 8x3 4x8 1 4
https:// apmath.github.io /.../worksheet13.pdf
AP CALCULUS AB BC Inverse Trig Derivatives WORKSHEET ilearnmath Name Differentiate the following functions 1 f arctan xx 2 x 2 gt t arcsin 2 2 3 yx x arcsin 4 1 1 sin y x 5 f arctan xx x 6 y xx 2 arcsin 7 1arctan 2 3arctan x y x 8 f arcsin cos xx 9 f arctan xx x
Differentiation Inverse Trigonometric Functions Date Period Differentiate each function with respect to x 1 y cos 1 5x3 dy dx 1 1 5x3 2 15 x2 15 x2 1 25 x6 2 y sin 1 2x2 dy dx 1 1 2x 2 4x 4x 1 4x4 3 y tan 1 2x4 dy dx 1 2x4 2 1 8x3 8x3 4x8 1 4
AP CALCULUS AB BC Inverse Trig Derivatives WORKSHEET ilearnmath Name Differentiate the following functions 1 f arctan xx 2 x 2 gt t arcsin 2 2 3 yx x arcsin 4 1 1 sin y x 5 f arctan xx x 6 y xx 2 arcsin 7 1arctan 2 3arctan x y x 8 f arcsin cos xx 9 f arctan xx x
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