Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
Differentiate the function f(x)=ln(ex+1).f(x)=\ln\bigl(e^x+1\bigr).f(x)=ln(ex+1).
Differentiate the function f(x)=sin(lnx).f(x)=\sin\bigl(\ln x\bigr).f(x)=sin(lnx).
Compute the derivative of f(x)=ln(sinx).f(x)=\ln\bigl(\sin x\bigr).f(x)=ln(sinx).
Find the derivative of f(x)=sin3(2x+1).f(x)=\sin^3\bigl(2x+1\bigr).f(x)=sin3(2x+1).
Find the derivative of f(x)=arctan(3x2+1).f(x)=\arctan\bigl(3x^2+1\bigr).f(x)=arctan(3x2+1).
Compute the derivative of f(x)=(ln(x+1))3.f(x)=\bigl(\ln(x+1)\bigr)^3.f(x)=(ln(x+1))3.
Differentiate the function f(x)=(ex2+1)4.f(x)=\bigl(e^{x^2}+1\bigr)^4.f(x)=(ex2+1)4.
Find the derivative of
Find f′(x)f'(x)f′(x) if f(x)=esin(x2).f(x)=e^{\sin(x^2)}.f(x)=esin(x2).
Find f′(x)f'(x)f′(x) for f(x)=1+e3x.f(x)=\sqrt{1+e^{3x}}.f(x)=1+e3x.
Compute f′(x)f'(x)f′(x) if f(x)=(cos(x2))5.f(x)=\bigl(\cos(x^2)\bigr)^5.f(x)=(cos(x2))5.
Differentiate the function f(x)=ln(sin(ex)).f(x)=\ln\bigl(\sin(e^x)\bigr).f(x)=ln(sin(ex)).
Previous
Question Type 1: Calculating derivatives of complicated functions
Next
Question Type 3: Applying product rule on multiplying functions