Questions asked by CJ
 Back to user's profile

Next

Why is calculus important?

What is the gradient function used for?

Why do we need the gradient function?

What is an infinite limit?

How do you find limits as x approaches infinity?

Is the function #(x^26x+9)/(x3)# continuous?

How can I prove that a function is continuous?

What is the "rate of change" of a function?

Why is it important to know rates of change?

Are there different kinds of rate of change?

What is the slope of a curve?

How do I find the equation for a tangent line without derivatives?

How do you find the equation of a normal line if you know the equation of the tangent line?

If my tangent line at point (4,8) has the equation #y=5x/6  9#, what is the equation of the normal line at the same point?

How do I find the derivative of #f(x)=x^3# from first principles?

How do I find the derivative of #x^2 + 7x 4# using first principles?

How do I find the derivative of #x^3  2x^2 + x/4 +6# using first principles?

How do I find the derivative of #f(x)=sqrt(x)# using first principles?

How do I find the derivative of #f(x) = sqrt(x+3)# using first principles?

What is the derivative of #x^n#?

How do I find derivatives of radicals like #sqrt(x)#?

How do you find the derivative of #y = f(x)  g(x)#?

What is the quotient rule?

What is the limit #lim_(x>0)sin(x)/x#?

What is the limit #lim_(x>0)(cos(x)1)/x#?

Is there a way to find the derivative of sin(x) without limits?

How are sin(x), tan(x), and x related graphically?

How can I find the derivative of #y=e^x# from first principles?

How can I find the derivative of #y=c^x# using first principles, where c is an integer?

What is the derivative of #log_e(x)#?

What is the change of base rule for logarithms?

What are the derivatives of the inverse trigonometric functions?

What are the derivatives of exponential functions?

What are the derivatives of logarithmic functions?

What is a stationary point, or critical point, of a function?

What is special about a turning point?

How do I find local maxima and minima of a function?

How can I use derivatives to find acceleration, given a positiontime function?

Do all functions have points of inflection?

What is Newton's Method?

How do I evaluate definite integrals?

How do I evaluate indefinite integrals?

What is the antiderivative of a polynomial?

How do you find the antiderivative of #x^2+5x#, if the point (0,5) exists on the graph of the antiderivative?

How do you evaluate the integral #int_0^4x^3+2x^28x1#?

How can you find a function, if you already know the rate of change of the function?

What are the antiderivatives of #sin(x)# and #cos(x)#?

What is the antiderivative of #tan(x)#?

What is the antiderivative of #sec^2(x)#?

What are the antiderivatives of #sec(x)#, #csc(x)# and #cot(x)#?

What is the antiderivative of #e^x#?

What is the antiderivative of #n^x#?

What is a rational function?

How do I find the integral of a rational function?

How do I divide one polynomial by another?

What is the constant of integration and why is it so important?

How do I evaluate constants of integration?

When integrating by trigonometric substitution, what are some useful identities to know?

How does Simpson's Rule work?

Why do we need to approximate integrals when we can work them out by hand?

How do you determine the amount of work needed for movement of objects?

Why is the error of approximation of an integral important?

How does the formula #1/90((ba)/2)^5(f^(4)(zeta))# work for calculating error?

How do I integrate with Euler's method by hand?

How do I integrate with Euler's method with a calculator or computer?

How do I find the surface area of a solid of revolution using parametric equations?

How are certain formulĂ¦ for areas of circles and ellipses related to calculus?

How do you find areas bounded by polar curves using calculus?

How do I find the surface area of a solid of revolution using polar coordinates?

How do I find the surface area of the solid defined by revolving #r = 3sin(theta)# about the polar axis?

How do I determine the volume of the solid obtained by revolving the curve #r=3sin(theta)# around the polar axis?

How do I determine if the alternating series #sum_(n=1)^oo(1)^n/sqrt(3n+1)# is convergent?

How do you know when to use the Root Test for convergence of a series?

When testing for convergence, how do you determine which test to use?

What is the radius of convergence?

How do you find the antiderivative of a power series?

What is a Taylor series?

What are the most important power series to memorise?

How do I use a power series to calculate a limit?

How do I find #lim_(x>oo)(3sin(x))/e^x# using power series?

What uses do products of power series have?

What is the formula for binomial expansion?

What is the link between binomial expansions and Pascal's Triangle?

If I want to test the series #sum_(n=1)^oo(n^2+2^n)/(1e^(n+1))# for convergence, what would be the best test to use and why?

When using integration to find an area, exactly which "area" is found?

Is there a difference between #lim_(h>0)(f(x+h)f(x))/h# and #lim_(deltax>0)(f(x+deltax)f(x))/(deltax)#?

What is the limit as x approaches 0 of #sin^2(x/x)#?

What is the derivative of #x=y^2#?

What is the derivative of #e^(9x)#?

What is the limit as x approaches 0 from the righthand side of #ln(x)#?

What is the limit as x approaches infinity of a constant?

What is the derivative of #x#?

What is the limit as x approaches infinity of #6cos(x)#?

What is the integral of #ln(x^2)#?

What is the derivative of #e^3#?

What is the integral of a constant?

What is the antiderivative of the distance function?

What is the derivative of #y=6xy#?

What is the integral of #ln(7x)#?

What is the limit as x approaches infinity of #1.001^x#?

Next