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Magazine Problem 1
Exer. 1-2: Approximate to four decimal places. (a) \(\sinh ^{-1} 1\) (b) \(\cosh ^{-1} 2\) (c) \(\tanh ^{-1}\left(-\frac{1}{2}\right)\) (d) \(\operatorname{sech}^{-1} \frac{1}{2}\)
Problem 1
Exer. \(1-2\) : Approximate to four decimal places. \(\begin{array}{lll}1 & \text { (a) } \sinh 4\end{array}\) (b) \(\cosh \ln 4\) (c) \(\tanh (-3)\) (d) \(\operatorname{coth} 10\) (e) sech 2 (f) \(\operatorname{csch}(-1)\)
Problem 1
Find \(f^{\prime}(x)\) if \(f(x)\) is the given expression. \(\sin ^{-1} \sqrt{x}\)
Problem 1
Exer. \(1-18:\) Find the exact value of the expression, whenever it is defined. (a) \(\sin ^{-1}\left(-\frac{\sqrt{2}}{2}\right)\) (b) \(\cos ^{-1}\left(-\frac{1}{2}\right)\) (c) \(\tan ^{-1}(-\sqrt{3})\)
Problem 1
Find \(f^{\prime}(x)\) if \(f(x)\) is the given expression. \(\arctan \sqrt{x-1}\)
Problem 2
Exer. \(1-2\) : Approximate to four decimal places. (a) \(\sinh \ln 4\) (b) \(\cosh 4\) (c) \(\tanh 3\) |d) \(\operatorname{coth}(-10)\) (e) \(\operatorname{sech}(-2)\) If) \(\operatorname{csch} 1\)
Problem 2
Find the exact value of the expression, whenever it is defined. |a) \(\sin ^{-1}\left(-\frac{1}{2}\right)\) (b) \(\cos ^{-1}\left(-\frac{\sqrt{2}}{2}\right)\) (c) \(\tan ^{-1}(-1)\)
Problem 2
Find \(f^{\prime}(x)\) if \(f(x)\) is the given expression. \(\tan ^{-1}(\ln 3 x)\)
Problem 2
Approximate to four decimal places. (a) \(\sinh ^{-1}(-2)\) (b) \(\cosh ^{-1} 5\) (c) \(\tanh ^{-1} \frac{1}{3}\) (d) \(\operatorname{sech}^{-1} \frac{3}{3}\)
Problem 2
Find \(f^{\prime}(x)\) if \(f(x)\) is the given expression. \(\sin ^{-1} \frac{1}{3} x\)
