Let's perform the differentiation: <math><mo>(</mo><mi>tan</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)'</mo></math>
 <math><mn>1</mn><mo>·</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></math>

▷<b>Answer: &nbsp; <math><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></math></b><span style='font-size:smaller'> &nbsp; &nbsp; (computation required 2 steps and 1 ms)</span>