What is the derivative of (x^3-5^5(x^5+7)) ?

The derivative of (x^3-5^5(x^5+7)) is 15x^2(x^3-5)^4(x^5+7)+5x^4(x^3-5)^5

What is the first derivative of (x^3-5^5(x^5+7)) ?

The first derivative of (x^3-5^5(x^5+7)) is 15x^2(x^3-5)^4(x^5+7)+5x^4(x^3-5)^5

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\frac{d}{d x} ((x^{3} - 5)^{5} (x^{5} + 7))

15 x^{2} (x^{3} - 5)^{4} (x^{5} + 7) + 5 x^{4} (x^{3} - 5)^{5}

Solution steps

\frac{d}{d x} ((x^{3} - 5)^{5} (x^{5} + 7))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (x^{3} - 5)^{5}, g = x^{5} + 7

= \frac{d}{d x} ((x^{3} - 5)^{5}) (x^{5} + 7) + \frac{d}{d x} (x^{5} + 7) (x^{3} - 5)^{5}

\frac{d}{d x} ((x^{3} - 5)^{5}) = 15 x^{2} (x^{3} - 5)^{4}

\frac{d}{d x} (x^{5} + 7) = 5 x^{4}

= 15 x^{2} (x^{3} - 5)^{4} (x^{5} + 7) + 5 x^{4} (x^{3} - 5)^{5}

\frac{2 x - 1}{2 ( x ^{2} - x )}

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

\int - 2 sin (n x) d x

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What is the derivative of (x^3-5^5(x^5+7)) ?
The derivative of (x^3-5^5(x^5+7)) is 15x^2(x^3-5)^4(x^5+7)+5x^4(x^3-5)^5
What is the first derivative of (x^3-5^5(x^5+7)) ?
The first derivative of (x^3-5^5(x^5+7)) is 15x^2(x^3-5)^4(x^5+7)+5x^4(x^3-5)^5