Differentiating Function Equation

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• exponent

• slope of the secant line

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

• y' = 8x + 3 +12/x³

• y' = 8x + 3 -12/x³

• y' = 8x + 3 + 12/x

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

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

• A
• B
• C
• D

Find the derivative.

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• -4x^-3

• a

• b

• c

• d

Differentiate f(x) = 5x⁷.

• 35x^6

• 210x^5

• 5x^6

• 1050x^4

Differentiate f(x) = 4x².

• 8x

• 16x

• 16x^2

• 8x^2