Find the derivative of $$g(x) = \sqrt{5x^3 + 4x}$$ using the chain rule.

$$\frac{15x^2 + 4}{2\sqrt{5x^3 + 4x}}$$

Find the derivative of $$k(x) = e^{3x^2 + x}$$ using the chain rule.

$$e^{3x^2 + x} \cdot (6x + 1)$$

Find the derivative of $$p(x) = \cos(5x^2 + 2x)$$ using the chain rule.

$$-\sin(5x^2 + 2x) \cdot (10x + 2)$$

Find the derivative of $$s(x) = \ln(4x^3 + 5x^2)$$ using the chain rule.

$$\frac{12x^2 + 10x}{4x^3 + 5x^2}$$ .

Mastering the Chain Rule Flashcards

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