f′(x)=ex,g′(x)=cosx,h′(x)=2x, thus, the result is esinx2⋅cosx2⋅2x.
Using differentiated education in your classroom has a lot of advantages. With consideration for each student's unique needs, differentiation aims to maximize learning for all children. Following that thought, the following are some benefits of differentiation in the classroom:
It accommodates diversity. For instance, it's crucial that students with disabilities in your class feel included and supported on an equal basis with everyone else. This can entail modifying your classroom's design, giving them modified resources, and making sure everyone can participate in activities.
Students have more energy for learning. Every youngster is different, with their own passions and interests. Why not benefit from that? Additionally, differentiation.
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Use the chain rule,
(f(g(x))′=f′(g(x))g′(x)
For three functions,
(f(g(h(x))))′=f′(g(h(x)))g′(h(x))h′(x)
Set f(x)=ex,g(x)=sinx,h(x)=x2
if this e is the well-known Euler' constant then lne=1 and you get
y′=2xcos(x2)esin(x2)
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