can anybody slove this
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Calculus Examples
Popular Problems
d/dx sin(e^(2x))
sin(e2x)sin(e2x)
Differentiate using the chain rule, which states that ddx[f(g(x))]ddx[f(g(x))] is f'(g(x))g'(x)f′(g(x))g′(x) where f(x)=sin(x)f(x)=sin(x) and g(x)=e2xg(x)=e2x.
To apply the Chain Rule, set u1u1 as e2xe2x.
ddu1[sin(u1)]ddx[e2x]ddu1[sin(u1)]ddx[e2x]
The derivative of sin(u1)sin(u1) with respect to u1u1 is cos(u1)cos(u1).
cos(u1)ddx[e2x]cos(u1)ddx[e2x]
Replace all occurrences of u1u1 with e2xe2x.
cos(e2x)ddx[e2x]cos(e2x)ddx[e2x]
Differentiate using the chain rule, which states that ddx[f(g(x))]ddx[f(g(x))] is f'(g(x))g'(x)f′(g(x))g′(x) where f(x)=exf(x)=ex and g(x)=2xg(x)=2x.
cos(e2x)(e2xddx[2x])
2e^2xcose^2x answer
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