Basic Differentition and integration (EP1)

Find the derivative of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

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

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

What is the derivative of xⁿ?

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

Differentiate 6x^⅔.

• 4x^-⅓
• 4x^-⅔
• 6x^⅓
• 4x^⅓

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

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

Differentiate with respect to x. $y=\frac{1}{x^3}$  

•  $\frac{\partial y}{\partial x}=\frac{1}{x^4}$  

•  $\frac{\partial y}{\partial x}=-3x$  

•  $\frac{\partial y}{\partial x}=-\frac{3}{x^3}$  

•  $\frac{\partial y}{\partial x}=-\frac{3}{x^4}$