Trig Inverses
The derivative of
cos^{-1}(x)
.
What is
-(1)/(sqrt(1-x^2))
This is the derivative of the function
f(x)=\frac{x+1}{x+2}
What is
f'(x)=1/(x+2)^2?
This is the derivative of the function
f(x)=(e^x+1)^2
What is
f'(x)=2(e^x+1)+e^x?
This is the derivative of the function
f(x)=\frac{x^{500}){x^{499}}, \text{ where }x\ne 0
What is
f'(x)=1?
When asked what Isaac's favorite number was, he said whatever 5 equals when following the pattern listed below.
1=5, 2=15, 3=215, and 4=3215
What is 1?
This is the derivative of the function
f(x)=\frac{sin(x)}{cos(x)}
What is
f'(x)=sec^2(x)?
This is the derivative of the function
f(x)=tan(x^2)
What is
f'(x)=2xsec^2(x^2)?
This is the derivative of the function
f(x)=\frac{tan(x^3)*(1-sin^2(x^3))*csc(x^3)}{cot(x^3)*(1-cos^2(x^3))*sec(x^3)}
What is
f'(x)=-3x^2csc^2(x^3)?
The number you get once you multiply all numbers on a telephone dial-pad.
What is 0?
The derivative of
h(x) = cos^{-1}(3x+1)
h'(x) = (3)/(sqrt(1-(3x+1)^2))
This is the derivative of the function
f(x)=\frac{x^2}{ln(x)}
What is
f'(x)=\frac{2xln(x)-x}{ln^2(x)}?
This is the derivative of the function
f(x)=\sqrt(5x-2)
What is
f'(x)=\frac{5}{2\sqrt{5x-2}}?
This is the derivative of the function
f(x)=e^{sec(x)tan(x)}
What is
f'(x)=e^{sec(x)tan(x)}(sec(x)tan^2(x)+sec^3(x))?
The answer to when John's birthday is given the following information.
The day before yesterday I was 21, and I will be 24 next year.
What is December 31st?
This is the derivative of the function
\frac{f(x)-g(x)}{h(x)}
What is
\frac{(f'(x)-g'(x))h(x)-(f(x)-g(x))h'(x)}{(h(x))^2}?
This is the derivative of the function
(h(x)\circg(x))\circf(x)
What is
h'(g(f(x)))*g'(f(x))*f'(x)?
This is the derivative of the function
f(x)=\frac{ln(x^2)}{1+x^2}*e^x
What is
f'(x)=\frac{(e^xln(x^2)+\frac{2e^x}{x})(1+x^2)-2xe^xln(x)}{(1+x^2)^2}?
The probability that when a dice is rolled, the product of the 5 visible sides is divisible by 3.
What is 100%?
The derivative of
n(x) = cot^{-1}(sqrt(4-x^2))
n'(x) = (x)/((5+x^2)(sqrt(4-x^2))
This is the derivative of the function
f(x)=\frac{ln(x)}{e^x}-\frac{sin(x)}{x^{1/3}}
What is
f'(x)=\frac{\frac{e^x}{x}-e^xln(x)}{e^{2x}}-\frac{cos(x)\root{3}{x}-\frac{sin(x)}{3\root{3}{x^2}}}{\root{3}{x^2}}?
This is the derivative of the function
f(x)=e^{x^{sin(x)})
What is
f'(x)=e^{x^{sin(x)}}x^{sin(x)}(\frac{sin(x)}{x}+cos(x)ln(x))?
This is the derivative of the function
f(x)=tan(e^{3x^2+sin(ln(x^2))})
What is
f'(x)=sec^2(e^{3x^2+sin(ln(x^2))})e^{3x^2+sin(ln(x^2))}(6x+cos(ln(x^2))\frac{1}{x^2}*(2x))?
The total number of cards in my deck if the following is true.
A small number of cards have been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain.
What is 47?
The derivative of
k(x) = ln(sin(x^2)cos(x))
k'(x) = (2xcos(x^2)cos(x) - sin(x^2)sin(x))/(sin(x^2)cos(x))
This is the derivative of the function
f(x)=\frac{\frac{\frac{1}{x^2}}{\frac{1}{x^2+1}}-\frac{\frac{1}{x^3}}{\frac{1}{x^3+1}}}{\frac{\frac{1}{x^5}}{\frac{1}{x^5+1}}-\frac{\frac{1}{x^7}}{\frac{1}{x^7+1}}}
What is
f'(x)=\frac{4x^3(x+1)-x^4}{(x+1)^2}?
This is the derivative of the function
f(x)=ln(e^csc(e^sin((x^100+2x^50+1)-(x^50+1)^2)))+x
What is
f'(x)=1?
This is the derivative of the function
f(x)=\frac{tan(e^{\frac{1}{2}x})+\frac{1}{e^{-sin(x^2)}}}{x^2+1}*(ln(e^{1+x^2})-x^2-1)
What is
f'(x)=0?
This is current age of your Instructional Student Assistant.
What is 20?