Here, the functions aref(x)andg(x). Answer and Explanation:1 Given Data: The given function is:sin(x2+5)cos(x2+9x+2) Differentiate the given... Learn more about this topic: Applying the Rules of Differe
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...
Find derivative of sin(tan^(-1)e^(-x)) w.r.t. to x 03:22 Differentiate the following w.r.t. x: log(cose^x) 00:51 Differentiate the following w.r.t. x: e^x+e^x^2+. . . .+e^x^5 01:22 Find derivative of sqrt(e^(sqrt(x))) , x >0 w.r.t. to x 03:07 Diff...
"The derivative of" is also written d dx So d dx sin(x) and sin(x)’ both mean "The derivative of sin(x)"ExamplesExample: what is the derivative of sin(x) ? From the table above it is listed as being cos(x) It can be written as: ddxsin(x) = cos(x) Or: sin(x)’ =...
Derivatives of functions tableFunction nameFunctionDerivative f (x)f '(x) Constant const 0 Linear x 1 Power x a a x a-1 Exponential e x e x Exponential a x a x ln a Natural logarithm ln(x) Logarithm logb(x) Sine sin x cos x Cosine cos x -sin x Tangent tan x Arcsine arcsin...
Find the derivative of y = 5 sin (-x). Find the derivative. f(x)=cos x/sin x Find the derivative. y = (sin 3x)/(1 + cos 2x) Find the derivative of y = (sin x) / (1 + tan x). Find the derivative of {(sin x)^2 / cos 3 x}. ...
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...
{x+y} \right)=\sin x\cos y+\cos x\sin y)\\\&=\underset{{h\to 0}}{\mathop{{\lim }}}\,\frac{{\sin \left( {2x} \right)\left[ {\cos \left( {2h} \right)-1} \right]+\cos \left( {2x} \right)\sin \left( {2h} \right)}}{h}\\&=\underset{{h\to 0}}{\mathop...
derivative of exp(sin(x))
Find the functional derivative of the functional S[y]=∫aby(x)sin(y(x))dx with respect to the function y, where the integrand is f[y(x)]=y(x)sin(y(x)). Declare y(x) as a symbolic function and define f as the integrand of S. Use f and y as the parameters of functionalDer...