Sin−1 2x1+x2 w . r . t Tan−1 2x1−x2 View Solution Find the derivative withtan−1(sinx1+cosx)with respect totan−1(cosx1+sinx) View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths ...
Find the derivative of the function. y=sin(sin(sinx)). Chain Rule: Used in differentiation, the chain rule multiplies the derivative of the outside component of a given expression by the derivative of the inside component of the expression. This allows for the derivative of compo...
SOLUTION The tangent line is horizontal when the derivative is equal to zero. To get the derivative of sin2x, we use the Product Rule. d/(dx)sin^2x=d/(dx)(sinxsinx)=sinxcosx+sinxcosx The product of sin x and cos x is equal to zero when either sin x or cos x is equal to ...
Find the derivative of the function. y = ln ({e^x + e^{-x / 2) Find the derivative of the function.\g(t) = e^{\frac{-8}{t^8} } Find the derivative of the function. f(x) = x 9^x,f'(x)=?. Find the derivative of the...
Find the derivative of each of the following functions defined by integrals.H (x) =∫ _(-5)^(cos x)2t^2 相关知识点: 试题来源: 解析 -2sin xcos ^2x H' ( x )=2(cos x)^2⋅ -sin xH' ( x )=-2sin xcos ^2x反馈 收藏 ...
Find the derivative of (5x3+3x−1)(x−1). View Solution Knowledge Check Find the derivative of (x3−3x2+4)(4x5+x2−1) : A2x(10x3+1)(x3−3x2+4)+3x(x−2)(4x5+x2−1) B2x(10x3+1)(x3+3x2+4)+3x(x−2)(4x5+x2−1) C2x(10x3+1)(x3−3x2+4)+3x...
Find the derivative off(x)=sin(7xx+7) Question: Find the derivative off(x)=sin(7xx+7) Sine and Chain Rule: To calculate the derivative of complex expressions of functions it is necessary to apply the chain rule. This rule, linked to the sine function, results: ...
tanx=sinxcosx cotx=cosxsinx 3)cscx=1sinx,among others. Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... ...
解析 f(x,y)=sin (2x+5y)\ ⇒ \ f_y=cos (2x+5y)⋅ 5=5cos (2x+5y), (split)f_(yx)&=-5sin (2x+5y)⋅ 2&=-10sin (2x+5y)(split), (split)f_(yxy)&=-10cos (2x+5y)⋅ 5&=-50cos (2x+5y)(split) 反馈 收藏 ...
The exponential function exhas the property that its derivative is equal to the function itself. Therefore: d/dx ex= ex Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand ...