Solve f(x)=-5x^54x^4-3x^3-9x^28x 17-5x^3-x^26x^5 - ScanMath

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Type your math problem... f(x)=-5x^54x^4-3x^3-9x^28x 17-5x^3-x^26x^5

Question

Function

Evaluate the derivative

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Find the domain

Find the x -intercept/zero

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f^{'} (x) = - 180 x^{8} - 3696 x^{2} - 42 x^{6}

Evaluate

f (x) = - 5 x^{5} \times 4 x^{4} - 3 x^{3} - 9 x^{2} \times 8 x \times 17 - 5 x^{3} - x^{2} \times 6 x^{5}

Simplify

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f (x) = - 20 x^{9} - 1232 x^{3} - 6 x^{7}

Take the derivative of both sides

f^{'} (x) = \frac{d}{d x} (- 20 x^{9} - 1232 x^{3} - 6 x^{7})

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))

f^{'} (x) = - \frac{d}{d x} (20 x^{9}) - \frac{d}{d x} (1232 x^{3}) - \frac{d}{d x} (6 x^{7})

Calculate

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f^{'} (x) = - 180 x^{8} - \frac{d}{d x} (1232 x^{3}) - \frac{d}{d x} (6 x^{7})

Calculate

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f^{'} (x) = - 180 x^{8} - 3696 x^{2} - \frac{d}{d x} (6 x^{7})

Solution

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f^{'} (x) = - 180 x^{8} - 3696 x^{2} - 42 x^{6}

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Testing for symmetry

Testing for symmetry about the origin

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Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Symmetry with respect to the origin

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Graph

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