What is differentiation and integration?


An integral is an anti-derivative, meaning it will take the derivative we are assessing and return it back to its original function. Moreover, an integral is used to find the area under a curve. Differentiation is the opposite to integration and can be used to find the gradient of a curve.for example, y=f(x)= x2+xdy/dx= 2x+1integration of: 2x+1 = x2+x dx

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Functions: If f(x)=3x^2 - 4 and g(x) = x + 3, 1) Evaluate f(3), 2) Find the inverse of f(x) (f^-1(x)), 3)Find fg(x).


The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P


Prove the identity: (sinx - tanx)(cosx - cotx) = (sinx - 1)(cosx - 1)


Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)