Question

Differentiate the following w.r.t. x

Answer 1

Answer:

2xe^x².tan(e^x²)

Step-by-step explanation:

d/dx log[sec(e^x²)]

applying substitution method for differentiation.

let sec(e^x²) = u

e^x² = v

x² = w

=> d/du logu. d/dv secv.d/dw e^w.d/dx x²

=> 1/u . sec v tan v . e^w . 2x

=> 1 / [sec(e^x²)] . sec(e^x²)tan(e^x²).e^x².2x

=> tan(e^x²) . e^x² . 2x

=> 2xe^x².tan(e^x²)

Hope this helps you