With respect to x, what is the derivative of: u52 Option 1: u25dudx Option 2: −53u−35 Option 3: 25u−35dudx Option 4: 57u75dudx

Step 1Let f(u)=5u2=(u2)15=u25Differentiating w.r.t.xStep 2f′(u)=ddx(u25)dudx=25u25−1⋅dudx=25i−35dudxHence option 3 is correct.

Resolved: "With respect to x, what is the derivative..."

College
Calculus and Analysis
Differential Calculus
Derivatives

babeeb0oL

Answered question

2021-09-29

With respect to x, what is the derivative of:
${\sqrt[5]{u}}^{2}$
Option 1: $u^{\frac{2}{5}} \frac{d u}{d x}$
Option 2: $- \frac{5}{3} u^{\frac{- 3}{5}}$
Option 3: $\frac{2}{5} u^{\frac{- 3}{5}} \frac{d u}{d x}$
Option 4: $\frac{5}{7} u^{\frac{7}{5}} \frac{d u}{d x}$