Differentiate this! (1 Viewer)

[theonly1]

X^2
---- This is 1 question
X-1


X^4 + 5x^-1 This is another

 

[yasminee96]

d/dx(x^2) = 2x (bring down the power to a coefficient and reduce the power by 1)

d/dx(x-1) = 1 (constants go to zero because they have x^0 next to them, so you're multiplying by zero when you bring the power down to coefficient. x goes to 1 because it's power is initially 1 so when you differentiate it becomes 1 times x^0)

d/dx(x^4 + 5x^(-1) ) = 4x^3 -5x^(-2) (with negative powers, the negative sign comes down with the power, and always remember when you reduce the negative power, it become -2 rather than zero. Just a silly mistake I used to make a lot)



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[sleepyair]

X^2
---- This is 1 question
X-1

Use the quotient rule: dy/dx = u'v-v'u / v^2, where u is the numerator and v is the denominator.
u' is du/dx and v' is dv/dx

 

[Ikki]

For the first question:









For the second question: (Using normal power rule)

 

[RealiseNothing]

X^2
---- This is 1 question
X-1

 

[Ikki]

Ah, the +1-1, never get tired of that lol