TB TF Qu. 01-31 (Static) Relative to explicit taxes, implicit taxes are muc... Relative to explicit taxes, implicit taxes are much easier to estimate. True or False True False
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True/False: Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample. (a) True or False: To find the derivative of $\sin x$ we have to use the definition of the derivative. (b) True or False: To find the derivative of $\tan x$ we have to use the definition of the derivative. (c) True or False: The derivative of $\frac{x^{4}}{\sin x}$ is $\frac{4 x^{3}}{\cos x}$. (d) True or False: If a function is algebraic, then so is its derivative. (e) True or False: If a function is transcendental, then so is its derivative. (f) True or False: If $f$ is a trigonometric function, then $f^{\prime}$ is also a trigonometric function. (g) True or False: If $f$ is an inverse trigonometric function, then $f^{\prime}$ is also an inverse trigonometric function. (h) True or False: If $f$ is a hyperbolic function, then $f^{\prime}$ is also a hyperbolic function.
Derivatives
Derivatives of Trigonometric and Hyperbolic
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