Find the derivative of f(x) = 5x³+5x²-30

Identify function: Identify the function to differentiate. f(x) = 5x³ + 5x² - 30. Apply power rule: Apply the power rule to each term. Derivative of 5x³ is 15x², derivative of 5x² is 10x, and derivative of -30 is 0. Combine derivatives: Combine the derivatives. f′(x) = 15x² + 10x + 0.

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

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Calculus

Find derivatives using the quotient rule I

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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. $f'(x) = 15x^2 + 10x + 0$ .