Assume that we are given a function {eq}f(x) {/eq} and we are interested in finding the derivative of our function, {eq}f'(x) {/eq}. In order to use the limit definition, we have to: Compute a difference {eq}f(x + h) - f(x) {/eq} ...
Prove that the derivative of csc(x) is -csc(x)cot(x) (i.e. f(x) = csc(x) \to f'(x) = -csc(x)cot(x)). If F(x) = cot(x) , prove F'(x) = -csc^2(x) . Prove the following identity. cosx/1-sinx - cosx/1+sinx = 2tanx Prove the following identity. 1-sinx/cos...
Let us consider two real-value functions of one variable f(x) and g(x). The distance between the functions is defined as the difference function f(x)−g(x). Answer and Explanation: We are given the real-value functions of one variable f1(...
Prove that the derivative of csc(x) is -csc(x)cot(x) (i.e. f(x) = csc(x) \to f'(x) = -csc(x)cot(x)). If F(x) = cot(x) , prove F'(x) = -csc^2(x) . Prove the following identity. cosx/1-sinx - cosx/1+sinx = 2tanx Prove the following identity. 1-sinx/cos...