Question

F(x)= 5x^9+5x−10f'(x)=?​

Answer 1

примерно как то так

но это не точно

Answer 2

F(x)=5x⁹+5x-10

F(x)=-10

Answer 3

To find the derivative of the function $f(x) = 5x^9 + 5x - 10$ with respect to $x$, you can use the power rule for differentiation, which states that the derivative of $x^n$ with respect to $x$ is $nx^{n-1}$. Applying this rule to each term of the function, we get:

$f'(x) = \frac{d}{dx} (5x^9) + \frac{d}{dx} (5x) - \frac{d}{dx} (10)$

Using the power rule, the derivative of $5x^9$ with respect to $x$ is $45x^{9-1} = 45x^8$.

The derivative of $5x$ with respect to $x$ is simply $5$.

The derivative of a constant (like $10$) is 0 because the rate of change of a constant value is zero.

Therefore, the derivative of the function $f(x) = 5x^9 + 5x - 10$ with respect to $x$ is:

$f'(x) = 45x^8 + 5$