DIFFERENTIATION (ROUND 2)

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

Find the derivative of the function:

f (x) = 2x - 5x⁶

• f '(x)= 2 - 30x

• f '(x) = 2-30x⁵

• f '(x) = -30x⁵

• f '(x) = -150x⁴

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Select the correct derivative of:

y = 3x^-½

• (3/2) x ^3/2

• (-3/2) x ^-3/2

• -1.5 x^1/2

• (-2/3) x ^-3/2

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

• 7
• 0
• 7x
• 14

Derivative means...

• slope of the tangent line

• slope of the normal line

• exponent

• potato

Differentiate 6x²-2x⁶

• 12x-12x⁶

• 12x²-12x⁵

• 12x-12x⁵

• 12x⁵-12x⁶