C-Level Derivatives
Find the derivative of:
f(x) = 3x2 + 5x + 12
f'(x) = 6x + 5
Find the derivative of:
f(x) = 2/x4 + 3/x2 + 7x + 5
f'(x) = - 8/x5 - 6/x3 + 7
Find:
S 24x5 + 6x + 5 dx
f(x) = 4x6 + 3x2 + 5x + c
Find:
S 10/x3 + 6/x2 dx
f(x) = - 5/x2 - 6/x + c
Find:
S 4x + 3 dx
and use the point (1, 12) to find c.
f(x) = 2x2 + 3x + 7
Find the derivative of:
y = 6x4 + 2x3 + 8x2 + 10x + 4
y' = 24x3 + 6x2 + 16x + 10
Find the derivative of:
y = 5/x4 + 10/x3 + 4x2 + 12x - 9
y' = - 20/x5 - 30/x4 + 8x +12
Find:
S 12x3 + 9x2 + 10x + 7 dx
y = 3x4 + 3x3 + 5x2 + 7x +c
Find:
S 18/x7 + 25/x6 + 12x3 dx
y = - 3/x6 - 5/x5 + 3x4 + c
Find:
S 9x2 - 12x + 5 dx
and use the point (1, -10) to solve for c.
y = 3x3 - 6x2 + 5x - 8
Find the derivative of:
f(x) = - 6x5 + 8x3 - 4x2 + 9
f'(x) = - 30x4 + 24x2 - 8x
Find the derivative of:
f(x) = - 8/x5 - 4/x3 + 6x - 15
f'(x) = 40/x6 + 12/x4 + 6
Find:
S - 14x6 - 20x4 + 15x2 + 8x - 10 dx
f(x) = - 2x7 - 4x5 + 5x3 + 4x2 - 10x + c
S - 54/x10 + 16/x9 + 4x - 13 dx
f(x) = 6/x9 - 2/x8 + 2x2 - 13x + c
Find:
S 9x2 - 6x + 1 dx
and use f(4) = 150 to find c.
f(x) = 3x3 - 3x2 + x + 2
Find the derivative of:
y = - x8 - 7x4 + 10x - 5
y' = - 8x7 - 28x3 + 10
Find the derivative of:
y = - 2/x5 + 7/x3 - 8x2 + 4x - 1
y' = 10/x4 - 21/x4 - 16x + 4
Find:
S 5x4 - 36x3 + 60x2 - 1 dx
y = x5 - 9x4 + 20x3 - x + c
Find:
S 32/x5 - 36/x3 - 10x - 1 dx
y = - 8/x4 + 18/x2 - 5x2 - x + c
Find:
S 2x3 + 3x - 7 dx
and use f(2) = 3 to find c.
f(x) = 1/2 x4 + 3/2 x2 - 7x + 3
f(x) = 0.5x4 + 1.5x2 - 7x + 3
Find the derivative of:
f(x) = 3x6 - x4 - 12x2 + 9x - 15
f'(x) = 18x5 - 4x3 - 24x + 9
Find the derivative:
f(x) = - 7/x8 + 3/x5 - 6/x2 - x + 2
f'(x) = 56/x9 - 15/x6 + 12/x3 - 1
Find:
S - 35x4 - 3x2 - 10x + 4 dx
f(x) = - 7x5 - x3 - 5x2 + 4x + c
Find:
S -42/x7 + 4/x5 + 14x - 11 dx
f(x) = 7/x6 - 1/x4 + 7x2 - 11x + c
Find:
S - 3x5 + x3 + 7 dx
and use f( - 2 ) = - 37 to find c.
f(x) = -1/2 x6 + 1/4 x4 + 7x + 5
f(x) = -0.5x6 + 0.25x4 + 7x + 5