Answer :
Find ds/dt s=5t^3-3t^5
s=5t3−3t5
Differentiate both sides of the equation.
ddt(s)=ddt(5t3−3t5)
The derivative of s
with respect to t is s'
.
s'
Differentiate the right side of the equation.
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−15t4+15t2
Reform the equation by setting the left side equal to the right side.
s'=−15t4+15t2
Replace s'
with dsdt
.
dsdt=−15t4+15t2