chain rule and implicit diff

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)

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

Tags

CCSS.HSF.IF.A.2

Find the derivative of the function:
f(x) = (7/5) sin² 2x

• f '(x) = -(28 sin 2x cos 2x)/5
• f '(x) = (28 cos 2x)/5
• f '(x) = (28 sin 2x cos 2x)/5
• f '(x) = (7sin 2x cos 2x) /5

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

Find dy/dx for
(3x - 2x²)³

• dy/dx = (3 - 4x)⋅3(3x - 2x²)²
• dy/dx = 3(3x - 2x²)²
• dy/dx = 3(3 - 4x)²
• dy/dx = (3 - 4x)(9x - 18x²)²

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = 168x⁶(5+8x)²
• f '(x) = 24x⁷(5+8x)²+7x⁶(5+8x)³
• f '(x) = 3x⁷(5+8x)²+7x⁶(5+8x)³
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

Tags

CCSS.HSA.APR.A.1

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx by Implicit Differentiation
xy = 6

• -x/ y
• -y/ x
• -6y/ x
• y/x

Find dy/dx
xy+y²=2

• -y/(x+2y)
• y/(x+2y)
• -3y/x
• -3x/y

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5