Check the solution to "Find the derivatives of the functions s=2t32+3e2" - Plainmath

Chris Cruz

Answered question

2021-12-08

Find the derivatives of the functions

s = 2 t^{\frac{3}{2}} + 3 e^{2}

Answer & Explanation

lovagwb

Beginner2021-12-09Added 50 answers

Step 1 :

s = 2 t^{\frac{3}{2}} + 3 e^{2}

Now differentiating w.r to t in both sides

\frac{d s}{d t} = \frac{2 t^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} + 3 e^{2} t + c

where c is a constant.
Step 2

\frac{d s}{d t} = 2 \frac{t^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} + 3 e^{2} t + c

= 2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}} + 3 e^{2} t + c

= \frac{4}{5} t^{\frac{5}{2}} + 3 e^{2} t + c

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