Solve k^3sqrt[3]{(2.02)^2+(1.97)^2}

$$k ^ { 3 } \sqrt[ 3 ] { ( 2.02 ) ^ { 2 } + ( 1.97 ) ^ { 2 } }$$

Evaluate

$$\frac{\sqrt[3]{79613}\times 10^{\frac{2}{3}}k^{3}}{100}$$

Solution Steps

Calculate 2.02 to the power of 2 and get 4.0804.

$$k^{3}\sqrt[3]{4.0804+1.97^{2}}$$

Calculate 1.97 to the power of 2 and get 3.8809.

$$k^{3}\sqrt[3]{4.0804+3.8809}$$

Add 4.0804 and 3.8809 to get 7.9613.

$$k^{3}\sqrt[3]{7.9613}$$

Differentiate w.r.t. k

$$\frac{3\sqrt[3]{79613}\times 10^{\frac{2}{3}}k^{2}}{100}$$