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**week 8 Derivative of transcisdental functions**

**Lecture 1**

We find derivatives of trigonometric functions by using following

**Lecture 2**

**lecture 3**

In general, an exponential function is of the form

*f*(*x*) = *ax* where *a* is a positive constant.

Derivative of the Natural Exponential Function

The exponential function *f*(*x*) = e*x* has the property that it is its own derivative. This means that the slope of a tangent line to the curve *y* = e*x* at any point is equal to the *y*-coordinate of the point.

We can combine the above formula with the chain rule to get

**Example:**

Differentiate the function *y* = e sin *x*

**Solution:**

* Example*:

Differentiate the function *y* = e–3*x*sin4*x*

**Solution:**

Using the Product Rule and the above formulas, we get