Solve \frac{d}{dx}(x^3-4x^2+7x-1)

Evaluate

\frac{d}{d x} (x^{3} - 4 x^{2} + 7 x - 1)

Use differentiation rule \frac{d}{d x} (f (x) \pm g (x)) = \frac{d}{d x} (f (x)) \pm \frac{d}{d x} (g (x))

\frac{d}{d x} (x^{3}) - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (7 x) - \frac{d}{d x} (1)

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

3 x^{2} - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (7 x) - \frac{d}{d x} (1)

Calculate

More Steps

3 x^{2} - 8 x + \frac{d}{d x} (7 x) - \frac{d}{d x} (1)

Calculate

More Steps

3 x^{2} - 8 x + 7 - \frac{d}{d x} (1)

Use \frac{d}{d x} (c) = 0 to find derivative

3 x^{2} - 8 x + 7 - 0

Solution

3 x^{2} - 8 x + 7

\frac{d}{dx}(x^3 4x^2+7x 1)