Question

What is the derivative of 3e^sinx

Answer 1

Let
`e^(f(x))` be an exponential function, the derivative of this is found by the formula below.

• 
  `(e^(f(x)))'=(e^(f(x))).f'(x)`

In summary, we multiply the general expression by the derivative of the exponent. Let's apply it and get results.

• 
  `(3e^(sin(x)))'=(3e^(sin(x))).(sin(x))'`
• 
  `(3e^(sin(x)))'=(3e^(sin(x))).(cos(x))`
• 
  `(3e^(sin(x)))'=3cos(x)e^(sin(x))`