Differentiating Function Equation

Find the derivative of 
 f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

• Only the Chain Rule
• The quotient & the Chain Rules
• Only the Quotient Rule
• Product & Quotient Rules

Derivative of sinx

• cosx
• sinx
• tanx
• secx

Find dy/dx by Implicit Differentiation
9y + x = 4y

• 1/ 9
• 1/ 5
• -1/ 5 
• -1/ 9

Derivative of cosx

• sinx
• -sinx
• cosx
• tanx

Find dy/dx if y = (cscx + 1)⁷

• -7(cscx + 1)⁶(cscxcotx)
• 7(-cscxcotx)⁶
• 7(cscx + 1)⁶(cscxcotx)
• -7(cscxcotx)⁶

Tags

CCSS.HSF-BF.B.4A

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

What is the derivative of xⁿ?

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

The derivative of a function is its

• y-intercept
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Tags

CCSS.HSF.IF.B.4

What is the quotient rule?

• (vu' - uv')/v²
• (uv' - vu')/v²
• (vu' - uv')/u²
• (uv' - vu')/u²