Basic Calculus Skills Test

1.
Find the derivative of f (x) = 19x13 + 8x8 + 31 + 1/x6.
2.
Differentiate the function g(t) = sin(t)ln(t).
3.
Find the derivative of h(z) = cos(z)/ez.
4.
Find the derivative of w(z) = tan(15 + 20z + 6z2).
5.
Find the derivative of h(w) = w5/8 +
9
 
                               
 
w11/8
 .
6.
Find the derivative of p(x) = x9 ln(4+6x).
7.
Differentiate f (y) = (ln(2y))3.
8.
Find the derivative of G(z) = (26 + 4z + cos(z))47.
9.
Find the derivative of w(z) =
10.
Find the derivative of H(w) = w8csc(w)ln(4w).
11.
Find the antiderivative .
12.
Find the antiderivative .