Differentiation Test Practice Questions for University Students

Find the derivative of ( f(x) = sqrt ).

What is the derivative of ( f(x) = arcsin(x) )?

Compute the derivative of ( f(x) = arctan(x) ).

Find the derivative of ( f(x) = x^4 ).

What is the derivative of ( f(x) = sec(x) )?

Compute the derivative of ( f(x) = csc(x) ).

Find the derivative of ( f(x) = cot(x) ).

What is the derivative of ( f(x) = e^ )?

Compute the derivative of ( f(x) = ln(2x) ).

Find the derivative of ( f(x) = x^2 + 3x + 5 ).

What is the derivative of ( f(x) = sin^2(x) )?

Compute the derivative of ( f(x) = cos^2(x) ).

Find the derivative of ( f(x) = x e^x ).

What is the derivative of ( f(x) = x ln(x) )?

Compute the derivative of ( f(x) = arccos(x) ).

Find the derivative of ( f(x) = arccot(x) ).

What is the derivative of ( f(x) = arccsc(x) )?

Compute the derivative of ( f(x) = arcsec(x) ).

Find the derivative of ( f(x) = e^ ).

What is the derivative of ( f(x) = ln(x^2) )?

Compute the derivative of ( f(x) = sin(x^2) ).

Find the derivative of ( f(x) = cos(x^2) ).

What is the derivative of ( f(x) = tan(x^2) )?

Compute the derivative of ( f(x) = sqrt ).

Find the derivative of ( f(x) = sqrt ).

What is the derivative of ( f(x) = sqrt )?

Compute the derivative of ( f(x) = ln(sin(x)) ).

Find the derivative of ( f(x) = ln(cos(x)) ).

What is the derivative of ( f(x) = ln(tan(x)) )?

Compute the derivative of ( f(x) = sin(ln(x)) ).

Find the derivative of ( f(x) = cos(ln(x)) ).

What is the derivative of ( f(x) = tan(ln(x)) )?

Compute the derivative of ( f(x) = e^ ).

Find the derivative of ( f(x) = e^ ).

What is the derivative of ( f(x) = e^ )?

Compute the derivative of ( f(x) = sin(e^x) ).

Find the derivative of ( f(x) = cos(e^x) ).

What is the derivative of ( f(x) = tan(e^x) )?

Compute the derivative of ( f(x) = ln(e^x) ).

Find the derivative of ( f(x) = ln(ln(x)) ).

What is the derivative of ( f(x) = ln(sqrt) )?

Compute the derivative of ( f(x) = x^x ).

Find the derivative of ( f(x) = x^ ).

What is the derivative of ( f(x) = sin(x^2 + x) )?

Compute the derivative of ( f(x) = cos(x^2 + x) ).

Find the derivative of ( f(x) = tan(x^2 + x) ).

What is the derivative of ( f(x) = sqrt )?

Compute the derivative of ( f(x) = e^ ).

Find the derivative of ( f(x) = ln(x^2 + x) ).

What is the derivative of ( f(x) = arcsin(x^2) )?

Compute the derivative of ( f(x) = arctan(x^2) ).

Find the derivative of ( f(x) = arccos(x^2) ).

What is the derivative of ( f(x) = arccot(x^2) )?

Compute the derivative of ( f(x) = arccsc(x^2) ).

Find the derivative of ( f(x) = arcsec(x^2) ).

What is the derivative of ( f(x) = sin(x)cos(x) )?