Basic Differentiation (2.2)

Find the derivative of:
f(x) = 2x² - 7x + 9

• 4x
• 4x + 7
• 4x - 7
• 9

Find the derivative of:
f(x) = (x - 4)(x + 7)

• 2x + 3
• 2x - 4
• 2x + 4
• 2x - 3

If y = 1/2 x² , find y'

• y' = 1/2 x³
• y' = x³
• y' = 1/2 x
• y' = x

If f(x) = cos x, find f'(x).

• f ' (x) = -cos x
• f ' (x) = sin x
• f ' (x) = -sin x
• f ' (x) = cos x

Find the derivative of y = -sin x.

• y ' = -cos x
• y ' = cos x
• y ' = csc x
• y' = -csc x

Derive 
y = (x³ + 2x) / 2

• [2(3x² + 2) - 2(x³ + 2x)] / 4
• 3/2 x² + 1
• [0(x³ + 2x) - 2(3x² + 2)] / 4
• 3/2 x² + x

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)
• y+1=2x
• y=2x+2
• y+1=2(x-1)

Select the correct derivative of:

3 sin x + 2 cos x + 5:

• cos x - sin x + 5

• ( - 2 sin x + cos x )

• 5 - 2 sin x + 3 cos x

• 3 cos x - 2 sin x

Derive:

f(x) = 3/(x⁴)

• 12(x³)

• -12/(x⁵)

• -12(x⁵)

• 12/(x³)