Chain Rule

What is the "over arching" derivative rule for  $f\left(x\right)=\left(4x^6-9x+2\right)^7$  

• sum/difference rule

• power rule

• product rule

• chain rule

Which derivative rule should you use to make this problem easier?    $y=\frac{-6}{\sqrt{5x-9}}$  

• sum/difference rule

• power rule

• quotient rule

• chain rule

Which problem does not involve the chain rule?

• $f\left(x\right)=x^2\sin\left(x\right)$

• $f\left(x\right)=x^3\sin\left(2x\right)$

• $f\left(x\right)=\tan^4x$

• $f\left(x\right)=\sqrt{7x^3-5x-9}$

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

Find f'(x)
f(x) = cos²(3x)/(9x⁴-6)

• [-6(9x⁴-6)cos(3x)sin(3x) - 36x³cos²(3x)]/(9x⁴-6)²
• [-6(9x⁴-6)sin(3x) - 36x³cos²(3x)]/(9x⁴-6)²
• -6cos(3x)sin(3x)/36x³
• [-2(9x⁴-6)cos(3x)sin(3x) - 36x³cos²(3x)]/(9x⁴-6)²

Tags

CCSS.HSF.TF.C.9