calculus-revision

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

• 3x²
• x³
• 6x
• 3x² + x³

At which point(s) will the slopes of the tangent line are zero?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Given f(x) = ax² + 2bx. What are a and b if f'(x) = 8x + 6?

• a = 2 and b = 3

• a = 3 and b = 2

• a = 3 and b = 4

• a = 4 and b = 3

What is the slope of the line normal to the curve y = x² + x at x = 1?

• -1

• -1/2

• -1/3

• -1/4

• I didn't look at my notes to see how to do this one.