Find the derivative of $\frac{\sin\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1}{\cos\left(x\right)}+1}$ using the definition

Got another answer? Verify it here!

Learn how to solve integrals of exponential functions problems step by step online.

$derivdef\left(\frac{\sin\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}\right)$

Learn how to solve integrals of exponential functions problems step by step online. Find the derivative of (sin(x)+sin(x)/cos(x))/(1/cos(x)+1) using the definition. Combine \frac{1}{\cos\left(x\right)}+1 in a single fraction. Combine \sin\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)} in a single fraction. Simplify the fraction \frac{\frac{\sin\left(x\right)+\sin\left(x\right)\cos\left(x\right)}{\cos\left(x\right)}}{\frac{1+\cos\left(x\right)}{\cos\left(x\right)}}. Factor the polynomial \sin\left(x\right)+\sin\left(x\right)\cos\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right).