(AM) Differentiation: Product Rule

Product Rule of derivatives #calculus #product #rule #derivative

Questions 5

Answers

1
Differentiate. (5x⁵+5)(-2x⁵-3)
-100x8-125x4
-100x3-125x2
-100x9-125x4
-100x7-125x4
2
Differentiate f(x)=-x³(3x⁴-2)
f'(x)= 21x6+6x2
f'(x)= -21x6-6x2
f'(x)= -21x5+6x2
f'(x)= -21x6+6x2
3
Differentiate: g(x)=x²(-3x²-2)
g'(x)=-12x3+4x
g'(x)=12x3-4x
g'(x)=12x3-5x
g'(x)=-12x3-4x
4
Differentiate. y=(-2x²-3)(-2x²+1)
dy/dx= 24x5+12x
dy/dx= 24x5-8x3-x
dy/dx=16x3+8x
dy/dx= 24x5-12x
5
Differentiate. f(x)= (-3+x^-3)(-4x³+3)
36x2-(9)/(x4)
36x2-(9)/(x2)
36x2-(9)/(x)
36x2-(9)/(x3)

Product Rule of derivatives #calculus #product #rule #derivative

Answers

1
Differentiate. (5x⁵+5)(-2x⁵-3)
-100x8-125x4
-100x3-125x2
-100x9-125x4
-100x7-125x4
2
Differentiate f(x)=-x³(3x⁴-2)
f'(x)= 21x6+6x2
f'(x)= -21x6-6x2
f'(x)= -21x5+6x2
f'(x)= -21x6+6x2
3
Differentiate: g(x)=x²(-3x²-2)
g'(x)=-12x3+4x
g'(x)=12x3-4x
g'(x)=12x3-5x
g'(x)=-12x3-4x
4
Differentiate. y=(-2x²-3)(-2x²+1)
dy/dx= 24x5+12x
dy/dx= 24x5-8x3-x
dy/dx=16x3+8x
dy/dx= 24x5-12x
5
Differentiate. f(x)= (-3+x^-3)(-4x³+3)
36x2-(9)/(x4)
36x2-(9)/(x2)
36x2-(9)/(x)
36x2-(9)/(x3)