Homework

Problem 1 · easy

Differentiate h(x) = x^3 * (x + 2).

Problem 2 · easy

Differentiate h(x) = x * (x^2 - 1).

Problem 3 · easy

Differentiate h(x) = (2x + 1)(x^2 + 3).

Problem 4 · medium

Differentiate h(x) = x^2 / (x - 1).

Problem 5 · easy

Differentiate h(x) = (x + 1) / (x - 1).

Problem 6 · medium

Differentiate h(x) = (x^2 + 1) / x.

Problem 7 · easy

Differentiate h(x) = (x^2 + 3)^4.

Problem 8 · easy

Differentiate h(x) = (5x - 2)^6.

Problem 9 · medium

Differentiate h(x) = sqrt(x^2 + 4).

Problem 10 · medium

Differentiate h(x) = (3x^2 + 1)^5.

Problem 11 · easy

Differentiate h(x) = (x^2 - 1)^3.

Problem 12 · easy

Differentiate h(x) = 1/(x + 1). Use the quotient rule.

Problem 13 · challenge

Differentiate h(x) = x^2 * (x^2 + 1)^3.

Problem 14 · challenge

Differentiate h(x) = (x^3 + x) / (x^2 + 1).

Problem 15 · easy

Differentiate h(x) = (2x + 5)^10.

Problem 16 · medium

Differentiate h(x) = sqrt(3x + 1).

Problem 17 · challenge

Find h'(x) for h(x) = (x + 1)^2 * (x - 1)^2.

Problem 18 · medium

Differentiate h(x) = 5x^2 * (x^3 - 2).

Problem 19 · challenge

Differentiate h(x) = (x^4 - 1)^(1/2).

Problem 20 · medium

Differentiate h(x) = x / (x^2 + 1).

Problem 21 · easy

Differentiate h(x) = (x - 3)^4.

Problem 22 · medium

Find h'(1) for h(x) = (x^2 + 3)^4.

Problem 23 · challenge

Differentiate h(x) = (x^2 + 1)^3 / x.

Problem 24 · medium

Differentiate h(x) = (1 - x^2)^5.

Problem 25 · medium

Find h'(0) for h(x) = x * (x^2 + 1)^3.