Solve b=(4x-5)*(x^2)-(x^5)*(x - 5) - 3x ^ 2 - x - ScanMath

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Type your math problem... b=(4x-5)*(x^2)-(x^5)*(x - 5) - 3x ^ 2 - x

Question

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Evaluate the derivative

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b^{'} = 12 x^{2} - 16 x - 6 x^{5} + 25 x^{4} - 1

Evaluate

b = (4 x - 5) x^{2} - x^{5} (x - 5) - 3 x^{2} - x

Simplify

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b = 4 x^{3} - 8 x^{2} - x^{6} + 5 x^{5} - x

Take the derivative of both sides

b^{'} = \frac{d}{d x} (4 x^{3} - 8 x^{2} - x^{6} + 5 x^{5} - x)

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))

b^{'} = \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (8 x^{2}) - \frac{d}{d x} (x^{6}) + \frac{d}{d x} (5 x^{5}) - \frac{d}{d x} (x)

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b^{'} = 12 x^{2} - \frac{d}{d x} (8 x^{2}) - \frac{d}{d x} (x^{6}) + \frac{d}{d x} (5 x^{5}) - \frac{d}{d x} (x)

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b^{'} = 12 x^{2} - 16 x - \frac{d}{d x} (x^{6}) + \frac{d}{d x} (5 x^{5}) - \frac{d}{d x} (x)

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

b^{'} = 12 x^{2} - 16 x - 6 x^{5} + \frac{d}{d x} (5 x^{5}) - \frac{d}{d x} (x)

Calculate

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b^{'} = 12 x^{2} - 16 x - 6 x^{5} + 25 x^{4} - \frac{d}{d x} (x)

Solution

b^{'} = 12 x^{2} - 16 x - 6 x^{5} + 25 x^{4} - 1

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Solve the equation

b = 4 x^{3} - 8 x^{2} - x^{6} + 5 x^{5} - x

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