Derivatives-All rules -no exponential

Overview of what was learned during calculus this year. Derivatives are the easiest things we have learned in this class. #calculus

Questions 6

Answers

1
y= x³ Ln x
yI= x2 - 3x2 Ln x
yI= x2 + 3x2 Ln x
yI= x2 (1+3Ln x)
2
y= Ln((x²)/4(x²-3))
yI=2Ln x - 4 Ln (x2-3)
yI=(2/x)-(8x/x2-3)
yI=0
yI=2Ln (1/x) - 4Ln (2x/x2-3)
3
y= x⁵+2x^-3
yI= 5x4-6x-4
yI= 5x4+6x-4
yI= x5 + 2x3
4
y= tan(sin x)
yI= sec2 (sin x) cos x
yI= sec2 (sin x)
yI= tan x(cos x) + sin x(sec2)
5
y= 3sinx - 4cosx
yI= -3cos x + 4sin x
yI= -3cos x - 4sin x
yI=3cos x + 4sin x
yI=3cos - 4 -sin x
6
F(x)= x³/x+4
FI(x)= 2x3-12x2/(x+8x+16)
FI(x)= x3+6/4x+8
FI(x)= 2x3+12x2/(x+4)2
FI(x)= 3x3+12x2-x3/(x+4)2

Overview of what was learned during calculus this year. Derivatives are the easiest things we have learned in this class. #calculus

Answers

1
y= x³ Ln x
yI= x2 - 3x2 Ln x
yI= x2 + 3x2 Ln x
yI= x2 (1+3Ln x)
2
y= Ln((x²)/4(x²-3))
yI=2Ln x - 4 Ln (x2-3)
yI=(2/x)-(8x/x2-3)
yI=0
yI=2Ln (1/x) - 4Ln (2x/x2-3)
3
y= x⁵+2x^-3
yI= 5x4-6x-4
yI= 5x4+6x-4
yI= x5 + 2x3
4
y= tan(sin x)
yI= sec2 (sin x) cos x
yI= sec2 (sin x)
yI= tan x(cos x) + sin x(sec2)
5
y= 3sinx - 4cosx
yI= -3cos x + 4sin x
yI= -3cos x - 4sin x
yI=3cos x + 4sin x
yI=3cos - 4 -sin x
6
F(x)= x³/x+4
FI(x)= 2x3-12x2/(x+8x+16)
FI(x)= x3+6/4x+8
FI(x)= 2x3+12x2/(x+4)2
FI(x)= 3x3+12x2-x3/(x+4)2