What is the derivative of (7x^4+10^5) ?

The derivative of (7x^4+10^5) is 140x^3(7x^4+10)^4

What is the first derivative of (7x^4+10^5) ?

The first derivative of (7x^4+10^5) is 140x^3(7x^4+10)^4

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\frac{d}{d x} ((7 x^{4} + 10)^{5})

140 x^{3} (7 x^{4} + 10)^{4}

Solution steps

\frac{d}{d x} ((7 x^{4} + 10)^{5})

Apply the chain rule:

5 (7 x^{4} + 10)^{4} \frac{d}{d x} (7 x^{4} + 10)

= 5 (7 x^{4} + 10)^{4} \frac{d}{d x} (7 x^{4} + 10)

\frac{d}{d x} (7 x^{4} + 10) = 28 x^{3}

= 5 (7 x^{4} + 10)^{4} \cdot 28 x^{3}

Simplify

= 140 x^{3} (7 x^{4} + 10)^{4}

x y^{^{'}} + 2 y - 6 = 0

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What is the derivative of (7x^4+10^5) ?
The derivative of (7x^4+10^5) is 140x^3(7x^4+10)^4
What is the first derivative of (7x^4+10^5) ?
The first derivative of (7x^4+10^5) is 140x^3(7x^4+10)^4