If h(x) = f(x)g(x)k(x) , h'(x) = ?

f(x)g(x)k'(x) + k(x)f(x)g'(x) + g(x)k(x)f'(x)

f(x) = (e2x-1)(3x+4)3 find f ’(x)

9e2x-1)(3x+4)2 + (2e2x-1)(3x+4)3

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MAGGGGG Calculus AB: Derivatives

20 termsStudBud Administration2 plays

#calc #derivative #math #magggggggggg #kevinstefanick

Flashcards20 cardsFPractice quizPHost liveL

Questions 20

Answers

1
f(x) = (cosx)(3sinx) - tanx , what is f ’(x)?
3sin2(x)−sec2(x)+3cos2(x)
−3sin2(x)+sec2(x)+3cos2(x)
−3sin2(x)−sec2(x)-3cos2(x)
−3sin2(x)−sec2(x)+3cos2(x)
2
Find y’’ if y = (2/3)x^4 - (5/6)x^3 + (7/4)x^2 - 8x +2
2x^2 - 5x + 7/2
(8/3)x^3 - (15/6)x^2 + (7/2)x - 8
Cannot be determined
8x^2 - 5x + 7/2
3
If f(x)= sin(x)/x then find dy/dx
-cos(x)/ x
[-xcos(x)+sin(x)]/ x2
[xcos(x)-sin(x)]/ x2
cos(x)/ x
4
Determine f ’(π) if f(x) = 4sin(x) + 3(cos(x))²
2
6
-6
10
5
If h(x) = f(x)g(x)k(x) , h'(x) = ?
f(x)g(x)k(x) + k(x)f(x)g'(x) + g(x)k(x)f'(x)
f'(x)g(x)k(x) + k(x)f(x)g(x) + g(x)k(x)f'(x)
f(x)g(x)k'(x) + k(x)f(x)g'(x) + g(x)k(x)f'(x)
f(x)g(x)k'(x) + k(x)f(x)g'(x) + g(x)k(x)f(x)
6
If f(x) = ln(cosx), find f ´(x)
-tanx
1/cosx
-1/sinx
tanx
7
Find f ’(x) if f(x)=(sin(2x-4))³
(6cos(2x-4))^2
(-6cos(2x-4))(sin(2x-4))^2
(3cos(2x-4))(sin(2x-4))^2
(6cos(2x-4))(sin(2x-4))^2
8
Find dy/dx if y=sin^-1(x³)
(-3x2) / ((1-x6)(1/2))
(3x2) / ((1-x6)(1/2))
1 / (x2-1)(-1/2)
(3x2) / (1+x6)
9
What is the slope of the normal line to the graph 5x⁴e^2xat x=3 ?
-1 / 1350
-1 / 250
270
1350
10
Find f ’(5) if f(x) = 10 (3x^2+x +2)^0.5
17.1168865
DNE
.552157
0
11
If 2f'(5)=6, g'(5)= 12, g(5)=4, f '(4)=-16, then find the derivative of f(g((5)) = ?
-16
72
3
-192
12
If f(x)=sin(2x²-8)-ln4, what is f '(2)?
31/4
1 - ln(4)
.75
-0.5
13
f(x) = (e^2x-1)(3x+4)³ find f ’(x)
(9xe2x-1)-(8e2x-1)2
Cannot be found
9e2x-1)(3x+4)2 + (2e2x-1)(3x+4)3
(9xe2x-1)+(8e2x-1)2
14
Find d/dx of the integral of x⁴+5x²+e^2xfrom 2 to 3x²
81x8+45x4+e6x^2-36-e4
81x8 +45x4+e6x^2
486x9+270x5+6xe6x^2
486x9+270x5+6xe6x^2-216x-6xe4
15
f(x) = (2/3)x³- (3/2)x² + 4x - 8 f '(3) = ?
3
-6
6
-3
16
f(x) = (5sinx) + (-3cosx) f '(2π) = ?
5
-1
1
0
17
If y=x^sinx, then dy/dx equals
(xsinx)((cosx/x) - (cosxlnx))
tanx(sinx)
xcosx(lnx+sinx)
(xsinx)((sinx/x) + (cosxlnx))
18
What is dy²/d²x if y = 4tan(x) ?
4tan(x)sec2(x)
8tan(x)sec2(x)
8tan(x)cos(2x)
4sec2(x)
19
What is the third derivative of (2cosx - 3sinx) ?
-2sin(x)+3cos(x)
2sin(x)-3cos(x)
2sin(x)+3cos(x)
−2sin(x)−3cos(x)
20
If f(x) = ln(e^{2x^2+ 3x}) , find f '(2).
14
11
11e-11
ln(2)

MAGGGGG Calculus AB: Derivatives Flashcards | StudBud

MAGGGGG Calculus AB: Derivatives

20 termsStudBud Administration2 plays

#calc #derivative #math #magggggggggg #kevinstefanick

Flashcards20 cardsFPractice quizPHost liveL

Questions 20

Answers

1
f(x) = (cosx)(3sinx) - tanx , what is f ’(x)?
3sin2(x)−sec2(x)+3cos2(x)
−3sin2(x)+sec2(x)+3cos2(x)
−3sin2(x)−sec2(x)-3cos2(x)
−3sin2(x)−sec2(x)+3cos2(x)
2
Find y’’ if y = (2/3)x^4 - (5/6)x^3 + (7/4)x^2 - 8x +2
2x^2 - 5x + 7/2
(8/3)x^3 - (15/6)x^2 + (7/2)x - 8
Cannot be determined
8x^2 - 5x + 7/2
3
If f(x)= sin(x)/x then find dy/dx
-cos(x)/ x
[-xcos(x)+sin(x)]/ x2
[xcos(x)-sin(x)]/ x2
cos(x)/ x
4
Determine f ’(π) if f(x) = 4sin(x) + 3(cos(x))²
2
6
-6
10
5
If h(x) = f(x)g(x)k(x) , h'(x) = ?
f(x)g(x)k(x) + k(x)f(x)g'(x) + g(x)k(x)f'(x)
f'(x)g(x)k(x) + k(x)f(x)g(x) + g(x)k(x)f'(x)
f(x)g(x)k'(x) + k(x)f(x)g'(x) + g(x)k(x)f'(x)
f(x)g(x)k'(x) + k(x)f(x)g'(x) + g(x)k(x)f(x)
6
If f(x) = ln(cosx), find f ´(x)
-tanx
1/cosx
-1/sinx
tanx
7
Find f ’(x) if f(x)=(sin(2x-4))³
(6cos(2x-4))^2
(-6cos(2x-4))(sin(2x-4))^2
(3cos(2x-4))(sin(2x-4))^2
(6cos(2x-4))(sin(2x-4))^2
8
Find dy/dx if y=sin^-1(x³)
(-3x2) / ((1-x6)(1/2))
(3x2) / ((1-x6)(1/2))
1 / (x2-1)(-1/2)
(3x2) / (1+x6)
9
What is the slope of the normal line to the graph 5x⁴e^2xat x=3 ?
-1 / 1350
-1 / 250
270
1350
10
Find f ’(5) if f(x) = 10 (3x^2+x +2)^0.5
17.1168865
DNE
.552157
0
11
If 2f'(5)=6, g'(5)= 12, g(5)=4, f '(4)=-16, then find the derivative of f(g((5)) = ?
-16
72
3
-192
12
If f(x)=sin(2x²-8)-ln4, what is f '(2)?
31/4
1 - ln(4)
.75
-0.5
13
f(x) = (e^2x-1)(3x+4)³ find f ’(x)
(9xe2x-1)-(8e2x-1)2
Cannot be found
9e2x-1)(3x+4)2 + (2e2x-1)(3x+4)3
(9xe2x-1)+(8e2x-1)2
14
Find d/dx of the integral of x⁴+5x²+e^2xfrom 2 to 3x²
81x8+45x4+e6x^2-36-e4
81x8 +45x4+e6x^2
486x9+270x5+6xe6x^2
486x9+270x5+6xe6x^2-216x-6xe4
15
f(x) = (2/3)x³- (3/2)x² + 4x - 8 f '(3) = ?
3
-6
6
-3
16
f(x) = (5sinx) + (-3cosx) f '(2π) = ?
5
-1
1
0
17
If y=x^sinx, then dy/dx equals
(xsinx)((cosx/x) - (cosxlnx))
tanx(sinx)
xcosx(lnx+sinx)
(xsinx)((sinx/x) + (cosxlnx))
18
What is dy²/d²x if y = 4tan(x) ?
4tan(x)sec2(x)
8tan(x)sec2(x)
8tan(x)cos(2x)
4sec2(x)
19
What is the third derivative of (2cosx - 3sinx) ?
-2sin(x)+3cos(x)
2sin(x)-3cos(x)
2sin(x)+3cos(x)
−2sin(x)−3cos(x)
20
If f(x) = ln(e^{2x^2+ 3x}) , find f '(2).
14
11
11e-11
ln(2)