Derivative of sin x Derivative $f’$ of the function $f(x)=\sin x$ is: \(\forall x \in ]-\infty, +\infty[ , f'(x) = \cos x\) Proof/Demonstration \[\begin{aligned} \frac{\sin (x+h)-\sin x}{h}&= \frac{\sin (x) \cos (h)+\cos (x) \sin (h)-\sin x}{h} ...
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Derivative proof of sin(x) For this proof, we can use the limit definition of the derivative. Limit Definition for sin: Using angle sum identity, we get Rearrange the limit so that the sin(x)’s are next to each other Factor out a sin from the quantity on the right Seperate the two...
the derivative ofsin(logx)is View Solution Compute the derivative of sin x by first principle. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET pr...
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Calculate the indicated derivative of the following expression: dydx for sin(x)+sin(y)=xy Implicit Differentiation: We can apply implicit differentiation when we are asked to find the derivative of a variable that is involved in a transcendental equations, o...
A。解析:对于函数\(y = uv\)(这里\(u = x^{2}\),\(v=\sin x\)),根据乘积法则\((uv)^\prime = u^\prime v+uv^\prime\)。\(u = x^{2}\)的导数\(u^\prime = 2x\),\(v=\sin x\)的导数\(v^\prime=\cos x\),所以\(y^\prime = 2x\sin x+x^{2}\cos x\)。选项B中符...
derivative of exp(sin(x))
derivative of f(x)=sin(3x)slope of y=-1/2 x-4slope of 2x-5y=9polar (-2,2)polar (-3,3) Frequently Asked Questions (FAQ) What is the derivative of y=arccos(1/x) ? The derivative of y=arccos(1/x) is (sqrt(x^2))/(x^2sqrt(x^2-1)) ...
G(x) = sin(y(x))+cos(y(x)) y(x) Functional Derivative with Respect to Two Functions Copy Code Copy Command Find the functional derivative of the functional S[u,v]=∫ab(u2(x)dv(x)dx+v(x)d2u(x)dx2)dx with respect to the functions u and v, where the integrand is f[u(...