Solve d(3t^5)^( 1/2 )dt

Evaluate

d (3 t^{5})^{\frac{1}{2}} d t

Multiply the terms

d^{2} (3 t^{5})^{\frac{1}{2}} t

Multiply the terms

More Steps

3^{\frac{1}{2}} d^{2} t^{\frac{5}{2}} \times t

Multiply the terms

More Steps

3^{\frac{1}{2}} d^{2} t^{\frac{7}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

3 \times d^{2} t^{\frac{7}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

3 \times d^{2} t^{7}

Simplify the radical expression

More Steps

3 \times d^{2} t^{3} t

Solution

d^{2} t^{3} 3 t

Simplify the expression