Find the derivative of $\tan\left(\frac{x}{2}+45circ\right)^2=\frac{1+\sin\left(x\right)}{1+\sin\left(x\right)}$ using the definition

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$derivdef\left(1\right)$

Learn how to solve definition of derivative problems step by step online. Find the derivative of tan(x/2+45circ)^2=(1+sin(x))/(1+sin(x)) using the definition. Simplify the fraction \frac{1+\sin\left(x\right)}{1+\sin\left(x\right)} by 1+\sin\left(x\right). Find the derivative of 1 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 1. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 1 and -1. Zero divided by anything is equal to zero.