Derivatives

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)

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Tags

CCSS.HSA.APR.A.1

• A
• B
• C
• D

Tags

CCSS.HSF.IF.A.2

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Tags

CCSS.HSA.APR.D.7

d/dx (sin²x) = ?

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)

Find the second derivative of the function $f\left(x\right)=2x-5x^6$  

•  $2-30x^5$  

•  $x^2-\frac{5}{7}x^7$  
  

•  $-30x^5$  

•  $-150x^4$  
  

Find the derivative of
 $f\left(x\right)=x^4\sin\left(x\right)$  

•  $x^4\cos\left(x\right)-4x^3\sin\left(x\right)$  
  

•  $x^4\cos\left(x\right)+4x^3\sin\left(x\right)$  
  

•  $4x^3\cos\left(x\right)$  

•  $-4x^3\cos\left(x\right)$