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Derivatives
If f(x)=(2x+5)/(x+3), then f'(x)=
Find the derivative...
Derivatives
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#calculus #derivatives
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Answers
1
Find the derivative...
D
B
C
A
2
If f(x)=(2x+5)/(x+3), then f'(x)=
(4x+11)/(x+3)2
1/(x+3)2
2
(4x+1)/(x+3)2
3
If f(x)=3x(x
2
+2x), then f'(x)=
6x2-3x
6x2+6x
3x3+6x2
9x2+12x
4
If f(x)=sinx+tanx, then f'(x)=
cosx + sec2x
-cosx+tanxsecx
sin2x+cosx
cotx +2secx
5
If f(x)=5x
3
+2x
2
-10x+4, then f'(x)=
15x3+4x2-10x+1
15x2-4x+10
8x2+4x-10
15x2+4x-10
6
If f(x)=sin(x)tan(x), then f'(x)=
cotx-2sinx
cos(x)tan2(x)
sinx(sec2x+1)
sin(x)sec(x)+tan(x)csc(x)
7
Find the derivative of:
6x(x+1)/(2x+1)2
2x2(4x+3)/(2x+1)2
3x
6x/(2x+1)2
8
If f(x)=cos(x)cot(x), then f'(x)=
cosx(-csc2x-1)
cosx(cotx+1)
cos(x)csc(x)-sin(x)
sinx(1-2cotx)
9
Find the derivative...
C
D
B
A
10
Find the equation of the tangent line of f(x)=5x
2
+2x+4 at (-2,20).
y=-18x-16
y=22x+64
y=12x-32
y=-16x+10
11
If f(x)=7x
5
cosx, then f'(x)=
7x4(xsinx-5cosx)
-7x4(xsinx-5cosx)
-7x5sinx-35x4cosx
-35x4sinx