Calculus Ch. T Review WS A

Find the 6th derivative of $ f(x) = -\cos x $.

• -\cos x

• $ \sin x $

• -$ \sin x $

• $ \cos x $

Find the derivative of $ y = \ln 8x $ with respect to $ x $.

• $ \frac{1}{x} $

• $ \frac{1}{8x} $

• $ \frac{1}{x} + \ln 8 $

• $ \frac{1}{x} + 8 $

Find the derivative of $ y = \ln 4x^3 $ with respect to $ x $.

• $ \frac{3}{x} $

• $ \frac{3}{4x^3} $

• $ \frac{3}{x} + \ln 4 $

• $ \frac{3}{x} + 4 $

Differentiate $ \frac{d}{dx} \ln \sqrt{4x^3 - 3x} $.

• $ \frac{6x - 3}{4x^3 - 3x} $

• $ \frac{6x - 3}{2(4x^3 - 3x)} $

• $ \frac{12x^2 - 3}{4x^3 - 3x} $

• $ \frac{12x^2 - 3}{2(4x^3 - 3x)} $

Find the derivative of the function $ f(x) = \ln(x + 4) $ at $ x = 4 $.

• $ \frac{1}{8} $

• $ \frac{1}{4} $

• $ \frac{1}{5} $

• $ \frac{1}{6} $

Find the derivative of $ y = \frac{\ln x}{2x^4} $ with respect to $ x $.

• $ \frac{1 - 4\ln x}{2x^5} $

• $ \frac{4\ln x - 1}{2x^5} $

• $ \frac{1 + 4\ln x}{2x^5} $

• $ \frac{1 - 4\ln x}{x^5} $

Find the derivative of $ f(x) = -3e^{2x} $.

• -6e^{2x}

• -3e^{2x}

• 6e^{2x}

• 3e^{2x}

Find the slope of the function $ y = -e^{-x^2} $ at $ x = 3 $.

• $6e^{-9}$

• $-6e^{-9}$

• $9e^{-6}$

• $-9e^{-6}$

Find the derivative of $ g(x) = 4x^3e^{-2x} $.

• $4x^2(3 - 2x)e^{-2x}$

• $4x^3(-2)e^{-2x}$

• $4x^3(3 - 2x)e^{-2x}$

• $4x^2(3 + 2x)e^{-2x}$