510 U-Sub MrG 2013.0426

3112 days ago by MATH4H2012

#1) find the derivative of f(x)=x f(x)=x f(x).diff() 
       
#1A) find the antiderivative of f(x)=1 g(x)=1 integrate(g(x),x) 
       
#2) find the derivative of f(x)=x^2 f(x)=x^2 f(x).diff() 
       
#2A) find the antiderivative of f(x)=2x g(x)=2*x integrate(g(x),x) 
       
#3) find the derivative of f(x)=x^3 f(x)=x^3 f(x).diff() 
       
#3A) find the antiderivative of f(x)=3x^2 g(x)=3*x^2 integrate(g(x),x) 
       
#4) find the derivative of f(x)=sin(x^2) f(x)=sin(x^2) f(x).diff() 
       
#4A) find the antiderivative of f(x)=xcos(x^2) g(x)=x*cos(x^2) integrate(g(x),x) 
       
#5) find the derivative of f(x)=cos(x^3) f(x)=cos(x^3) f(x).diff() 
       
#5A) find the antiderivative of f(x)=x^2*sin(x^3) g(x)=x^2*sin(x^3) integrate(g(x),x) 
       
#6) find the derivative of f(x)=tan(3*x) f(x)=tan(3*x) f(x).diff() 
       
#6A) find the antiderivative of f(x)=sec^2(3*x) g(x)=(1/cos(3*x)^2) integrate(g(x),x) 
       
#7) find the derivative of f(x)=e^(x/2) f(x)=exp(x/2) f(x).diff() 
       
#7A) find the antiderivative of f(x)=e^(x/2) g(x)=(exp(x/2)) integrate(g(x),x) 
       
#8) find the derivative of f(x)=ln(sin(x)) f(x)=log(sin(x)) f(x).diff() 
       
#8A) find the antiderivative of f(x)=cot(x) g(x)=cot(x) integrate(g(x),x) 
       
#9) find the derivative of f(x)=ln(sin(sqrt(x))) f(x)=log(sin(sqrt(x))) f(x).diff() 
       
#9A) find the antiderivative of f(x)=cot(sqrt(x))/sqrt(x) g(x)=cot(sqrt(x))/sqrt(x) integrate(g(x),x) 
       
#10) find the derivative of f(x)=exp((sqrt(x))) f(x)=exp((sqrt(x))) f(x).diff() 
       
#10A) find the antiderivative of f(x)=exp(sqrt(x))/sqrt(x) g(x)=exp(sqrt(x))/sqrt(x) integrate(g(x),x)