Homework

Problem 1 · easy

Differentiate f(x) = sin(x) + cos(x).

Problem 2 · easy

Differentiate f(x) = 3sin(x).

Problem 3 · easy

Differentiate f(x) = cos(2x).

Problem 4 · easy

Differentiate f(x) = sin(3x).

Problem 5 · easy

Differentiate f(x) = tan(x).

Problem 6 · medium

Differentiate f(x) = sin(x^2).

Problem 7 · medium

Differentiate f(x) = cos(x^3).

Problem 8 · easy

Differentiate f(x) = x*sin(x).

Problem 9 · medium

Differentiate f(x) = x^2*cos(x).

Problem 10 · medium

Differentiate f(x) = sin(x)/x.

Problem 11 · easy

Differentiate f(x) = tan(2x).

Problem 12 · easy

Differentiate f(x) = sec(x).

Problem 13 · medium

Differentiate f(x) = sin(x)*cos(x).

Problem 14 · medium

Differentiate f(x) = sin^2(x).

Problem 15 · medium

Differentiate f(x) = cos^2(x).

Problem 16 · easy

Find the slope of y = sin(x) at x = 0.

Problem 17 · easy

Find the slope of y = cos(x) at x = pi.

Problem 18 · medium

If x(t) = cos(4t), find the velocity v(t).

Problem 19 · medium

Differentiate f(x) = tan(x^2).

Problem 20 · challenge

Differentiate f(x) = x*cos(x) - sin(x).

Problem 21 · easy

Differentiate f(x) = sin(5x) + cos(3x).

Problem 22 · easy

Differentiate f(x) = cot(x).

Problem 23 · medium

Find f'(pi/4) for f(x) = tan(x).

Problem 24 · challenge

Differentiate f(x) = cos(sqrt(x)).

Problem 25 · challenge

Differentiate f(x) = sin(x) / (1 + cos(x)).