Differentiate the function with respect to x : e^x secX ?

1 Answer
Jun 12, 2018

d/dx (e^x secx) = e^xsecx (tanx + 1)ddx(exsecx)=exsecx(tanx+1)

Explanation:

Using the product rule:

d/dx (e^x secx) = e^x d/dx(secx)+ d/dx(e^x) secxddx(exsecx)=exddx(secx)+ddx(ex)secx

d/dx (e^x secx) = e^xsecx tanx + e^x secxddx(exsecx)=exsecxtanx+exsecx

d/dx (e^x secx) = e^xsecx (tanx + 1)ddx(exsecx)=exsecx(tanx+1)