91Ó°ÊÓ

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\cosh ^{2}(x)+\sinh ^{2}(x)$$

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\cosh ^{2}(x)-\sinh ^{2}(x)$$

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\tanh \left(\sqrt{x^{2}+1}\right)$$

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\frac{1+\tanh (x)}{1-\tanh (x)}$$

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\sinh ^{6}(x)$$

For the following exercises, find the derivatives of the given functions and graph along with the function to ensure your answer is correct. $$\ln (\operatorname{sech}(x)+\tanh (x))$$

For the following exercises, find the antiderivatives for the given functions. $$\cosh (2 x+1)$$

For the following exercises, find the antiderivatives for the given functions. $$\tanh (3 x+2)$$

For the following exercises, find the antiderivatives for the given functions. $$x \cosh \left(x^{2}\right)$$

For the following exercises, find the antiderivatives for the given functions. $$x^{3} \tanh \left(x^{4}\right)$$