# Math Help - derivatives...help

1. ## derivatives...help

g(x) = sin2(2x) - x

w(t) = sin(e^t) + esin(t).

y(x) = tan(x^2)

can someone help me get started with these...thanks...

2. Originally Posted by mathaction
g(x) = sin2(2x) - x

w(t) = sin(et) + esin(t).

y(x) = tan(x2)

can someone help me get started with these...thanks...
The derivative of $sin(x)$ is $cos(x)$. Use the chain rule.

-Dan

3. Originally Posted by mathaction
y(x) = tan(x^2)
and the derivative of $\tan x$ is $\sec^2 x$. you also need the chain rule here

4. can you show me how to do it...i dont get it

5. Originally Posted by mathaction
can you show me how to do it...i dont get it
You should know the derivative of the sine function. This is basic.

The derivative of the tangent function:
[tex]\frac{d}{dx}tan(x) = \frac{d}{dx}\frac{sin(x)}{cos(x)}

Now use the quotient rule.

-Dan