Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Differentiate f(x)=2x+1x2f(x) = \frac{2x+1}{x^2}f(x)=x22x+1
Differentiate f(x)=sin(x)+ln(x)3x2f(x) = \frac{\sin(x) + \ln(x)}{3x^2}f(x)=3x2sin(x)+ln(x)
Differentiate f(x)=ex+xx−1f(x) = \frac{e^x + x}{x - 1}f(x)=x−1ex+x
Differentiate f(x)=3x2+5x−22x3−xf(x) = \frac{3x^2 +5x -2}{2x^3 - x}f(x)=2x3−x3x2+5x−2
Differentiate f(x)=x2−4x3+1f(x) = \frac{x^2 - 4}{x^3 + 1}f(x)=x3+1x2−4
Differentiate f(x)=sin(x)1+cos(x)f(x) = \frac{\sin(x)}{1+\cos(x)}f(x)=1+cos(x)sin(x)
Differentiate f(x)=x+ln(x)x2+1f(x) = \frac{\sqrt{x} + \ln(x)}{x^2 +1}f(x)=x2+1x+ln(x)
Differentiate f(x)=ln(x)+1x2−xf(x) = \frac{\ln(x) + 1}{x^2 - x}f(x)=x2−xln(x)+1
Differentiate f(x)=arctan(x)+x2x3f(x) = \frac{\arctan(x) + x^2}{x^3}f(x)=x3arctan(x)+x2
Differentiate f(x)=xexx+2f(x) = \frac{xe^x}{x+2}f(x)=x+2xex
Differentiate f(x)=x3−3xsin(x)f(x) = \frac{x^3 -3x}{\sin(x)}f(x)=sin(x)x3−3x
Differentiate f(x)=(x2+1)exxf(x) = \frac{(x^2+1)e^x}{x}f(x)=x(x2+1)ex
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Question Type 5: Applying both chain rule and product rule together on composite functions
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Question Type 7: Learning to apply all the rules, product, chain and quotient together for any derivatives of composite functions of x