Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Question

Find the derivative of the given function. Simplify and express the answer using positive exponents only. ​  ​

Quizplus · Accepted Answer

To find the derivative of this function, we need to use the power rule, which states that for any constant multiple of a variable raised to a power, we can bring the power down in front of the variable and subtract 1 from the power.

Applying this rule to each term in the function, we get:

11eb0d3b_9850_1a0c_9790_495142c9aa0a_TB1243_11 = 11e(x^4)'b(x^5)'c(x^2)'

= 11(4x^3)eb(5x^4)bc(2x)

= 44x^3eb5x^4bcx^1

= 220x^4ebc

Simplifying this expression by expressing it using positive exponents only, we get:

220x^4 e^b c

Therefore, the correct answer is (C).

Find the Derivative of the Given Function