find derivs of y= [(x+3)^2]*e^4x 2), y=[(e^x)+(e^-x)]/x

[Pita]

Find derivatives of the functions defined as follows.
1) y= [(x+3)^2]*e^4x
2) y=[(e^x)+(e^-x)]/x

I don't know how to do it. Please help. Thank you.

 

[Deleted member 4993]

Find derivatives of the functions defined as follows.
1) y= [(x+3)^2]*e^4x

Hint:

Use Product rule { d/dx [f(x)*g(x)] = f'(x)*g(x) + f(x)*g'(x)} and Power rule {d/dx [xⁿ] = n * x^n-1}

2) y=[(e^x)+(e^-x)]/x

Hint:

use Quotient Rule {d/dx [f(x)/g(x)] = [f'(x)*g(x)-g'(x)*f(x)]/[g(x)]²}

I don't know how to do it. Please help. Thank you.

.

 

[Pita]

.

Thank you very much.