02.03 Derivative Rules: Constant, Sum, Difference, Constant Multiple, and Power

Find d h over d x if h(x) = cπ, where c is a constant. (1 point)

0

Find dA over dr if A = πr2. (1 point)

2πr

Given that g of x is equal to 6 divided by x squared plus one third times x plus 2 comma find g′(x). (1 point)

g prime of x equals negative 12 divided by x cubed plus one third

What is the slope of the tangent line to the graph of f(x) = x3 − 6x + 3 at (0, 3)? (1 point)

−6

Let f be the function given by f(x) = 3x4 − 5x2 + 6. What is the value of f′(−2)? (1 point)

−76