Let's differentiate: <math><mo>(</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow></msup><mo>)'</mo></math>
Apply the differentiation rule: <m><math><mo>(</mo><mi>exp</mi><mo>(</mo><mi>f</mi><mo>)</mo><mo>)'</mo><mo> = </mo><mo>(</mo><mi>f</mi><mo>)'</mo><mo>·</mo><mi>exp</mi><mo>(</mo><mi>f</mi><mo>)</mo></math></m> with <m>f</m> = <m><math><mn>2</mn><mi>x</mi></math></m>
 <math><mo>(</mo><mn>2</mn><mi>x</mi><mo>)'</mo><mo>·</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow></msup></math>

▷<b>Result: &nbsp; <math><mn>2</mn><msup><mrow><mi>e</mi></mrow><mrow><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow></msup></math></b><span style='font-size:smaller'> &nbsp; &nbsp; (processing: 3 steps, 2 ms)</span>