2x^{-\frac{1}{3}}-2x^{-\frac{1}{2}}

Differentiation- Find the derivatives using power rule by JAZ

Finding the derivative of an equation using the first principle. (Does not include the chain or quotient rule) #derivatives #differentiationquiz #calculus #derivativequiz #powerrulederivative

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Questions 25

Answers

1
Differentiate the function with respect to x
-12x
\frac{-12}{x^5}
\frac{3}{x^5}
\frac{-12}{x^4}
2
Find the derivative
15x2 - 12
8x2 + 12
8x2 + 13
15x2 + 12
3
Find the derivative
2x2
2x
x2
2x3
4
Evaluate the derivative with respect to x
x
0
1
\frac{-3}{5}
5
Evaluate the derivative with respect to x
-2x
2x-3
-2
\frac{-2}{x^3}
6
Differentiate the function with respect to x
-28x6 + 16x3
-4x7 - 48x5 + 4x4
-12x6
-4x4 - 16x3
7
Evaluate the derivative with respect to x
40x9 + 100x4
20x4 + 2x5
4x5 + 10
20x4
8
Find the derivative of f
8x2 - 3x
8
8x - 3
8x2 - 3
9
Differentiate the function with respect to x
x
\frac{1}{x}
-\frac{1}{x^2}
\frac{1}{x^2}
10
Evaluate the derivative with respect to x
2x
4x
2
4
11
Find the derivative
2+\frac{1}{x^2}
1
2
2-\frac{1}{x^2}
12
Differentiate the function with respect to x
84x6 - 45x4 - 24x
12x7 + 111x5 - 12x2 + 9
4x2 + 8x - 3
3x5 + 15x4 - 3
13
Evaluate the derivative with respect to x
0
5x
1
5
14
Find dy/dx
2x^{\frac{1}{3}}-2x^{-\frac{1}{2}}
3x^{-\frac{1}{3}}-2x^{^{-\frac{1}{2}}}
2x^{-\frac{1}{3}}-2x^{-\frac{1}{2}}
3x^{\frac{1}{3}}-2x^{-\frac{1}{2}}
15
Evaluate the derivative with respect to x
-3x
-3
3
0
16
Evaluate the derivative with respect to x
3
3^{\frac{1}{2}}x
0
\frac{1}{2}\left(3^{-\frac{1}{2}}\right)
17
Evaluate the derivative with respect to x
\frac{8}{3x^5}
-\frac{8}{3x^5}
\frac{8}{3}x^{-3}
\frac{-8}{3}x^{-3}
18
Evaluate the derivative with respect to x
-8x3
16x3
8x3
-16x3
19
Evaluate the derivative with respect to x
-9x4
-20x4
4x4
20x4
20
Find the derivative
8x4 - 21x3 + 16x2 - 13x
8x4 - 21x3 + 16x2 - 13
6x3 - 10x2 + 10x - 13
8x3 - 21x2 + 16x - 13
21
Differentiate the function with respect to x
-10x2
x2
-10x
-5x
22
Differentiate the function with respect to x
-10x10 - 250x8 - 25x5
145x9 + 50x4
-100x9 - 125x4
-5x5 - 25x4
23
Evaluate the derivative with respect to x
4x3
3x3
12x3
7x3
24
Find the derivative of f
1-\frac{1}{x^2}
1-\frac{1}{x}
\frac{2}{x^3}
1+\frac{1}{x^2}
25
Evaluate the derivative with respect to x
-1
0
-\frac{1}{3}
-\frac{1}{3}x

Differentiation- Find the derivatives using power rule by JAZ Flashcards | StudBud

Differentiation- Find the derivatives using power rule by JAZ

25 termsStudBud Administration22 plays

Finding the derivative of an equation using the first principle. (Does not include the chain or quotient rule) #derivatives #differentiationquiz #calculus #derivativequiz #powerrulederivative

Flashcards25 cardsFPractice quizPHost liveL

Questions 25

Answers

1
Differentiate the function with respect to x
-12x
\frac{-12}{x^5}
\frac{3}{x^5}
\frac{-12}{x^4}
2
Find the derivative
15x2 - 12
8x2 + 12
8x2 + 13
15x2 + 12
3
Find the derivative
2x2
2x
x2
2x3
4
Evaluate the derivative with respect to x
x
0
1
\frac{-3}{5}
5
Evaluate the derivative with respect to x
-2x
2x-3
-2
\frac{-2}{x^3}
6
Differentiate the function with respect to x
-28x6 + 16x3
-4x7 - 48x5 + 4x4
-12x6
-4x4 - 16x3
7
Evaluate the derivative with respect to x
40x9 + 100x4
20x4 + 2x5
4x5 + 10
20x4
8
Find the derivative of f
8x2 - 3x
8
8x - 3
8x2 - 3
9
Differentiate the function with respect to x
x
\frac{1}{x}
-\frac{1}{x^2}
\frac{1}{x^2}
10
Evaluate the derivative with respect to x
2x
4x
2
4
11
Find the derivative
2+\frac{1}{x^2}
1
2
2-\frac{1}{x^2}
12
Differentiate the function with respect to x
84x6 - 45x4 - 24x
12x7 + 111x5 - 12x2 + 9
4x2 + 8x - 3
3x5 + 15x4 - 3
13
Evaluate the derivative with respect to x
0
5x
1
5
14
Find dy/dx
2x^{\frac{1}{3}}-2x^{-\frac{1}{2}}
3x^{-\frac{1}{3}}-2x^{^{-\frac{1}{2}}}
2x^{-\frac{1}{3}}-2x^{-\frac{1}{2}}
3x^{\frac{1}{3}}-2x^{-\frac{1}{2}}
15
Evaluate the derivative with respect to x
-3x
-3
3
0
16
Evaluate the derivative with respect to x
3
3^{\frac{1}{2}}x
0
\frac{1}{2}\left(3^{-\frac{1}{2}}\right)
17
Evaluate the derivative with respect to x
\frac{8}{3x^5}
-\frac{8}{3x^5}
\frac{8}{3}x^{-3}
\frac{-8}{3}x^{-3}
18
Evaluate the derivative with respect to x
-8x3
16x3
8x3
-16x3
19
Evaluate the derivative with respect to x
-9x4
-20x4
4x4
20x4
20
Find the derivative
8x4 - 21x3 + 16x2 - 13x
8x4 - 21x3 + 16x2 - 13
6x3 - 10x2 + 10x - 13
8x3 - 21x2 + 16x - 13
21
Differentiate the function with respect to x
-10x2
x2
-10x
-5x
22
Differentiate the function with respect to x
-10x10 - 250x8 - 25x5
145x9 + 50x4
-100x9 - 125x4
-5x5 - 25x4
23
Evaluate the derivative with respect to x
4x3
3x3
12x3
7x3
24
Find the derivative of f
1-\frac{1}{x^2}
1-\frac{1}{x}
\frac{2}{x^3}
1+\frac{1}{x^2}
25
Evaluate the derivative with respect to x
-1
0
-\frac{1}{3}
-\frac{1}{3}x