f(x)=sinx2 Chain rule of differentiation: Let us consider the composite function f(x)=s(t(x)), When we differentiate that function with respect to x, we get, f′(x)=s′(t(x))⋅t′(x) Power rule: The derivative of xn is nxn−1, here n is a real number. Answe...
Step 1: Differentiate u with respect to x First, we need to find dudx. Using the formula for the derivative of the inverse sine function:ddxsin−1(y)=1√1−y2⋅dydx Let y=2x1+x2. We first find dydx. Using the quotient rule:dydx=(1+x2)(2)−(2x)(2x)(1+x2)2=2+2x...
View Solution Differentiatesin−1(2x1+x2)with respect totan−1x. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
Differentiate f(x) = e^{-x}x^2sin^3(3x^2+2). Differentiate. f(x) = (7x^2 - 12x)e^x f'(x) = Differentiate the given function f(x) = \frac{((2x-1)(x+3))}{(x+1)} Differentiate the given function f(x) = 5x \ln(2x) - 5x Differentiate the function. f(x)= (4x...
Differentiate the functionf(x)=sin(sin(x)) Question: Differentiate the functionf(x)=sin(sin(x)) Differentiation The chain rule in differentiation states thatddxf(g(x))=f′(g(x))g′(x) Some standard derivatives areddxsinx=cosx,ddxcosx=−sinx ...
Differentiate the functiony=ln(cscx−cotx). Question: Differentiate the functiony=ln(cscx−cotx). Logarithm with Trigonometric Expressions: Suppose the difference of two trigonometric functions is written in the composition of the logarithm such asln(p(x)−q(x)),...
(e^(2x)sin 2x)(4x^2) 相关知识点: 试题来源: 解析 (e^(2x)(xsin 2x+xcos 2x-xsin x))(2x^3) 结果一 题目 Differentiate each of the following with respect to x. 答案相关推荐 1Differentiate each of the following with respect to x. 反馈...
百度试题 结果1 题目Differentiate the function.y=cos((1-e^x)/(1+e^x^2) 相关知识点: 试题来源: 解析 4e2x 1-e2x y'=(4e^2x)/((1+e^(2x^2))^2)sin((1-e^x^2)/(1+e^(x^2))), y'= 1+e2x 反馈 收藏
m)[sin(2x)+1]4 v)y=4log5x n)sin[cos(x2)] f)y=tan(3x) w)y=log2(cosx) o)y=2sinx-3cos(5x) x)y=log(4x2) в)y=[sin(2x)]e3x p)x2y+y2x=1 v)y=x2esinx h)y=x2sinx q)x=sin(y) i)y=5(2)x r)y5+xy=3...
Differentiate: y = \frac{2x}{1 - 3x^2} Differentiate. f(x)=(3x^2-5x)e^x Find the derivative of y = (cos x)^(sin x) Find the derivative of y = x^{sin \ 4x}. Find the derivative of y = x^(sin 3x). Differentiate x^(x^3). Differentiate: y = ln^2 (x^4). Differen...