Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x

Question

csc = cosecant

confusing!!

Answer 1

y =3csc(5x) - e^(1-x^2) + 3^x we can take the derivative of each term separately

 

if y = f(x) + g(x) + h(x) the dy/dx = dy/dxf(x) + dy/dxg(x) + dy/dxh(x)

 

dy/dx = dy/dx(3csc(5x)) - dy/dx(e^(1-x^2)) + dy/dx(3^x)

 

d/dx = -15csc(5x)cot(x) + 2xe^(1-x^2) + log(3)3^x