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Questions and Answers
What is the derivative of the inverse hyperbolic function $sinh^{-1} F(X)$?
What is the derivative of the inverse hyperbolic function $sinh^{-1} F(X)$?
- $ rac{F'(X)}{ig(1 - (F(X))^2ig)}$
- $ rac{F'(X)}{ig(1 + (F(X))^2ig)^{1/2}}$
- $ rac{-F'(X)}{F(X)ig(ig|1 - (F(X))^2ig|ig)^{1/2}}$
- $ rac{F'(X)}{ uig(1 + (F(X))^2ig)}$ (correct)
The derivative of $sech^{-1} F(X)$ is $ rac{-F'(X)}{N(F(X) imes ext{sqrt}(1 - (F(X))^2))}$.
The derivative of $sech^{-1} F(X)$ is $ rac{-F'(X)}{N(F(X) imes ext{sqrt}(1 - (F(X))^2))}$.
True (A)
What is the result of $(x^2)^3$?
What is the result of $(x^2)^3$?
x^6
The derivative of $tanh^{-1} F(X)$ is $ rac{F'(X)}{1 - (F(X))^2}$ and is applicable when $F(X)$ is _____ either -1 or 1.
The derivative of $tanh^{-1} F(X)$ is $ rac{F'(X)}{1 - (F(X))^2}$ and is applicable when $F(X)$ is _____ either -1 or 1.
Match the following inverse hyperbolic functions with their derivatives:
Match the following inverse hyperbolic functions with their derivatives:
Flashcards
Derivative of sinh⁻¹(F(x))
Derivative of sinh⁻¹(F(x))
The derivative of the inverse hyperbolic sine of F(x) is F'(x) divided by the square root of 1 plus F(x) squared.
Derivative of cosh⁻¹(F(x))
Derivative of cosh⁻¹(F(x))
The derivative of the inverse hyperbolic cosine of F(x) is F'(x) divided by the square root of F(x) squared minus 1.
Derivative of tanh⁻¹(F(x))
Derivative of tanh⁻¹(F(x))
The derivative of the inverse hyperbolic tangent of F(x) is F'(x) divided by 1 minus F(x) squared.
Power Rule Example
Power Rule Example
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Derivative of coth⁻¹(F(x))
Derivative of coth⁻¹(F(x))
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