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Popular >

derivative of 6x^5-15x^4+10x^3

Solution

\frac{d}{d x} (6 x^{5} - 15 x^{4} + 10 x^{3})

Solution

30 x^{4} - 60 x^{3} + 30 x^{2}

Solution steps

\frac{d}{d x} (6 x^{5} - 15 x^{4} + 10 x^{3})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x^{5}) - \frac{d}{d x} (15 x^{4}) + \frac{d}{d x} (10 x^{3})

\frac{d}{d x} (6 x^{5}) = 30 x^{4}

\frac{d}{d x} (15 x^{4}) = 60 x^{3}

\frac{d}{d x} (10 x^{3}) = 30 x^{2}

= 30 x^{4} - 60 x^{3} + 30 x^{2}

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\frac{d}{d x} (3^{5 x + 2})

taylor (-3x+28)^{5/4}taylor

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\int_{0}^{7} \frac{1}{49 + x ^{2}} d x

(\partial)/(\partial x)(3y^5x^2+8yx^3)

\frac{\partial}{\partial x} (3 y^{5} x^{2} + 8 y x^{3})

Frequently Asked Questions (FAQ)

What is the derivative of 6x^5-15x^4+10x^3 ?
The derivative of 6x^5-15x^4+10x^3 is 30x^4-60x^3+30x^2
What is the first derivative of 6x^5-15x^4+10x^3 ?
The first derivative of 6x^5-15x^4+10x^3 is 30x^4-60x^3+30x^2