Untitled Formative 19

Last updated over 2 years ago

4 questions

1

Given f(x) = e^{-3x}, what is the derivative f'(x) using chain rule?

-3e^{-3x}

e^{-3x}

3e^{-3x}

-e^{3x

15x^2(3x^2+2)^4

30x(3x^2+2)^4

(3x^2+2)^5

15x(3x^2+2)^4

\frac{1}{\sqrt{4x+1}}

\frac{2}{\sqrt{4x+1}}

\frac{2}{\sqrt{4x}}

\frac{2}{2\sqrt{4x+1}}

\cos{2x}

-2\cos{2x}

2\sin{2x}

2\cos{2x}

Given f(x) = e^{-3x}, what is the derivative f'(x) using chain rule?

-3e^{-3x}

e^{-3x}

3e^{-3x}

-e^{3x

If g(x) = (3x^2+2)^5, what is the derivative g'(x) using the chain rule?

15x^2(3x^2+2)^4

30x(3x^2+2)^4

(3x^2+2)^5

15x(3x^2+2)^4

Calculate the derivative using the chain rule: h(x) = \sqrt{4x+1}.

\frac{1}{\sqrt{4x+1}}

\frac{2}{\sqrt{4x+1}}

\frac{2}{\sqrt{4x}}

\frac{2}{2\sqrt{4x+1}}

What is the derivative of the function j(x) = \sin{2x} using chain rule?

\cos{2x}

-2\cos{2x}

2\sin{2x}

2\cos{2x}