kargarzadehsm
14.11.2019 •
Mathematics
How do we know that the derivative of 1/x is equal to -1/x^2 ?
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Ответ:
the derivative of 1/x =-1/x^2
Step-by-step explanation:
1/x can also be written as x^-1
Therefore d/dx of x^-1
=-1*x^-1-1
=-1x^-2
Which can also be written as -1/x^2
Note: d/dx also means derivative of x
And d/dx (a/x^b) =(a*-b) /x^(b+1)
Where a and b represents a variable
Ответ:
4(3x2y4)3/(2x3y5)4
Final result :
27
—————
4x6y8
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(x2))•(y4))3)
4•——————————————————
((2x3•(y5))4)
Step 2 :
Equation at the end of step 2 :
((3x2 • (y4))3)
4 • ———————————————
24x12y20
Step 3 :
33x6y12
Simplify ————————
24x12y20
Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 :
27
4 • ——————
16x6y8
Step 4 :
Final result :
27
—————
4x6y8