# Differentiation of f(x)

The formula to find the derivative of a function `f(x)` is:

```
f'(x) = lim(h->0) [f(x+h) - f(x)]/h

```

Where `f'(x)` is the derivative of `f(x)`.

For the function `f(x) = 5x^2 + 3x`, we can find its derivative as follows:

```
f'(x) = lim(h->0) [f(x+h) - f(x)]/h
      = lim(h->0) [5(x+h)^2 + 3(x+h) - (5x^2 + 3x)]/h
      = lim(h->0) [5x^2 + 10xh + 5h^2 + 3x + 3h - 5x^2 - 3x]/h
      = lim(h->0) [10xh + 5h^2 + 3h]/h
      = lim(h->0) [h(10x + 5h + 3)]/h
      = 10x + 3

```

Therefore, the derivative of `f(x) = 5x^2 + 3x` is `f'(x) = 10x + 3`.
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