What is the derivative of (x^5-7^2) ?

The derivative of (x^5-7^2) is 10x^4(x^5-7)

What is the first derivative of (x^5-7^2) ?

The first derivative of (x^5-7^2) is 10x^4(x^5-7)

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\frac{d}{d x} ((x^{5} - 7)^{2})

10 x^{4} (x^{5} - 7)

Solution steps

\frac{d}{d x} ((x^{5} - 7)^{2})

Apply the chain rule:

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

= 2 (x^{5} - 7) \frac{d}{d x} (x^{5} - 7)

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

= 2 (x^{5} - 7) \cdot 5 x^{4}

Simplify

= 10 x^{4} (x^{5} - 7)

\int \frac{sin ( ln ( x ) )}{x} d x

\int \frac{x ^{2}}{( x ^{2} + 25 ) ^{\frac{3}{2}}} d x

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

\frac{d y}{d x} = x + 2 y, y (0) = 6

x \to 0 lim (\frac{π x ^{2} + 2}{x})

What is the derivative of (x^5-7^2) ?
The derivative of (x^5-7^2) is 10x^4(x^5-7)
What is the first derivative of (x^5-7^2) ?
The first derivative of (x^5-7^2) is 10x^4(x^5-7)