HELPP!

Let F be a function defined by f(x) 1-2sinx (x is less or equal to 0) and e^-4x (x is greater than 0)

For x does not equal 0, express f '(x) as a piecewise defined function. Find the value of x for which f ' (x) = 3

Question

HELPP!

Let F be a function defined by f(x) 1-2sinx (x is less or equal to 0) and e^-4x (x is greater than 0)

For x does not equal 0, express f '(x) as a piecewise defined function. Find the value of x for which f ' (x) = 3

across · Answer

$$f(x)=\begin{cases}
1-2\sin x & \text{ if } x\leq0 \ 
e^{-4x} & \text{ if } x>0
\end{cases}$$Is this what you mean?

across · Answer

$$f'(x)=\begin{cases}
-2\cos x & \text{ if } x\leq0 \ 
-4e^{-4x} & \text{ if } x>0
\end{cases}$$

anonymous · Answer

yes the first one