Just d/dx
Bound by the Chain Rule
The Theory of Us
Maximize Your Points
Differentiation in Reverse
100
$$x^{\pi}- \frac{e}{x}$$
What is $$\pi x^{\pi -1}+\frac{e}{x^{2}}$$
100
$$e^{(x\tan{x})}$$
What is $$e^{(x\tan{x})}(\tan{x}+x\sec^{2}{x})$$
100
When $$\lim_{x \rightarrow a}f(x) = f(a)$$
What is f is continuous at a.
100
$$y = 4+4x-x^{2}$$
What is $$x=2; y = 8$$
100
$$x^{3} - \frac{1}{\sqrt{x}}$$
What is $$\frac{1}{4}x^{4} -2\sqrt{x}$$
200
$$\frac{x^{2}}{x^{2} + 1}$$
What is $$\frac{2x}{(x^{2}+1)^{2}}$$
200
$$10^{5^{x}}$$
What is $$(\ln{10})10^{5^{x}}((\ln{5})5^{x})$$
200
When $$\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}$$ exists.
What is f is differentiable at x.
200
$$y = 3\sin{(2x)}; 0\leq x \leq \pi/2$$
What is $$x = \pi/4; y = 3$$
200
$$\sin{x}$$
What is $$-\cos{x}$$
300
$$\arctan{(\sqrt{x})}$$
What is $$\frac{1}{2\sqrt{x}(1 + x)}$$
300
$$\arcsin{(2+x)}$$
What is $$\frac{1}{\sqrt{1-(2+x)^{2}}}$$
300
The theorem that lets you conclude that if you average 59 mph on your drive home that at some point you were actually going exactly 59 mph.
What is the Mean Value Theorem.
300
$$y = x^{3}-12x +2; 0 \leq x \leq 4$$
What is $$x = 4; y = 18$$
300
$$\frac{1}{ \sqrt{4-2x}}$$
What is $$-\sqrt{4-2x}$$
400
$$2^{\cos{x}}$$
What is $$-\ln{2}(\sin{x})2^{\cos{x}}$$
400
$$(x + (x+x^{2})^{2})^{2}$$
What is $$2(x + (x+x^{2})^{2})2(1+(x+x^{2})(1+2x))$$
400
When $$f'(5) = 0,\hbox{ and } f''(5) = -2$$
What is f has a local maximum at 5
400
$$-x^{2}= y^{3}$$
What is $$x= 0; y = 0$$
400
$$\frac{1}{x+3}$$
What is $$\ln|x+3|$$
500
$$x^{\sin{2}}$$
What is $$(\sin{2})x^{(\sin{2}-1)}$$
500
$$e^{\sin^{2}(\frac{\pi}{4}})$$
What is $$0$$
500
The theorem that helps us deduce what $$\lim_{x \rightarrow 0}x\sin{(1/x)} = 0$$
What is the Squeeze (Sandwich) Theorem.
500
$$ y= \frac{x}{x^{2}+1}$$
What is $$x=1, y = 1/2$$
500
$$2^{3x+1}$$
What is $$\frac{1}{3\ln{2}}2^{3x+1}$$
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