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Find the derivative of $f(x) = 5x^3+5x^2-30$

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Find derivatives using the quotient rule I

Full solution

Q. Find the derivative of

f(x) = 5x^3+5x^2-30

Identify function: Identify the function to differentiate. $f(x) = 5x^3 + 5x^2 - 30$ .
Apply power rule: Apply the power rule to each term. Derivative of $5x^3$ is $15x^2$ , derivative of $5x^2$ is $10x$ , and derivative of $-30$ is $0$ .
Combine derivatives: Combine the derivatives. $f'(x) = 15x^2 + 10x + 0$ .

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