If F is the composition of two differentiable functions fleft(u ight) and u=gleft(x ight), that is, if Fleft(x ight)=fleft(gleft(x ight) ight), then the derivative of F is the derivative of f with respect khổng lồ u times the derivative of g with respect to lớn x, that is, fracmathrmdmathrmdx(F)left(x ight)=fracmathrmdmathrmdx(f)left(gleft(x ight) ight)fracmathrmdmathrmdx(g)left(x ight).

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The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.
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displaystylesinleft(45^o ight)=fracsqrt22approx0.7071ldots Explanation:An angle ofdisplaystyle45^ois an angle in the right triangle with equal ...
Calculate the value of the sin of 450 ° lớn enter an angle in radians, enter sin(450RAD) sin(450 °) = 1 Sine, in mathematics, is a trigonometric function of an angle. The sine of an angle is ...
displaystylefracsqrt32 Explanation:This is assuming you don't have a calculator.y=sinx is periodic with perioddisplaystyle360^0 sodisplaystylesinleft(480 ight)=sinleft(480-360 ight)=sin120 ...
Use the formula (n=1) mathcalL(t^nf(t))=(-1)^n frac d^nds^nF(s) mathcalL(tsin(4t))=(-1) frac dds(frac 4s^2+16) Or mathcalL(tsin(4t))=int_0^infty tsin(4t)e^-stdt=-int_0^infty partial_s(sin(4t)e^-st)dt ...
The characteristic function you’re thinking of is mathbb1_S, defined as mathbb1_S(x)=1 when xin S and mathbb1_S(x)=0 when x otin S. In the proof you reproduced, don’t think of 1_sigmain A_i ...
x=asin timplies dx=acos t,dt & from here int_-a^asqrta^2-x^2,dx=aint_-fracpi2^fracpi2sqrt1-sin^2 t,acos t,dt=a^2int_-fracpi2^fracpi2cos^2t= =left.fraca^22(t+cos tsin t) ight|_-fracpi2^fracpi2=fraca^2pi2
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If F is the composition of two differentiable functions fleft(u ight) and u=gleft(x ight), that is, if Fleft(x ight)=fleft(gleft(x ight) ight), then the derivative of F is the derivative of f with respect to lớn u times the derivative of g with respect khổng lồ x, that is, fracmathrmdmathrmdx(F)left(x ight)=fracmathrmdmathrmdx(f)left(gleft(x ight) ight)fracmathrmdmathrmdx(g)left(x ight).

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The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.
left< eginarray l l 2 & 3 \ 5 và 4 endarray ight> left< eginarray l l l 2 & 0 và 3 \ -1 & 1 và 5 endarray ight>
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