  misconception when differentiating rational functions that the derivatives of the numerator and theIt is a common()does not equaldenominator can be calculated separately. The derivative ofAlthough the derivative is an operator, it does not follow the same rules as some other mathematical operators such asnexponents, in whichyхх?Let h(x)h'The derivatives of the numerator and the denominator are both equal to 2x. It is incorrect to say2xequals- 12хx2Use the quotient rule to find the correct derivative of h(x)х2—2h(x)=

Question help_outlineImage Transcriptionclosemisconception when differentiating rational functions that the derivatives of the numerator and the It is a common () does not equal denominator can be calculated separately. The derivative of Although the derivative is an operator, it does not follow the same rules as some other mathematical operators such as n exponents, in which y х х? Let h(x) h' The derivatives of the numerator and the denominator are both equal to 2x. It is incorrect to say 2x equals - 1 2х x2 Use the quotient rule to find the correct derivative of h(x) х2—2 h(x)= fullscreen
Step 1

We apply quotient rule on h(x)

(u/v)'= (u'v-uv')...

Want to see the full answer?

See Solution

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Other 