She has 20 years of experience teaching collegiate mathematics at various institutions. What is the derivative of cos(x)? The derivative of cos(x) is -sin(x), and there are two different methods to differentiate cos(x). The first method for differentiating cos(x) is to use Euler's ...
Derivative of Trigonometric Functions Lesson Summary Frequently Asked Questions What is the derivative of cos(x)*tan(x)? The derivative of cos(x)*tan(x) can be found by writing tan(x) as sin(x)/cos(x). Writing tan(x) in this way causes the cosines to cancel, and the expression re...
The derivative of "High over Low" is:"Low dHigh minus High dLow, over the line and square the Low"Example: What is the derivative of cos(x)/x ? In our case: f = cos g = x We know (from the table above): f' = −sin(x) g' = 1 So: the derivative of cos(x)x = ...
Teacher Notes Activity 14 Discovering the Derivative of the Sine and Cosine Functions Objective ♦ Students will discover the derivative of sin(x) and cos(x) by analyzing a scatterplot of x-values and the function's numerical derivatives at these x-values. Applicable TI InterActive! Functions ...
Derivative f’ of the function f(x)=cos x is: f’(x) = - sin x for any value of x.Derivative of cos xDerivative f′ of the function f(x)=cosx is: ∀x∈]−∞,+∞[,f′(x)=−sinxProofcos(x+h)−cosxh=cos(x)cos(h)−sin(x)sin(h...
The derivative of cos x is -sin x and the derivative of sin x is cos x. So, the anti-derivative of cos x is sin x + C and the anti-derivative of sin x is -cos x + C, where C is constant of integration. Hence, we have obtained the anti-derivative of cos x as sin x + ...
( f(t)=2(cos)(t)+(sin)(2t)) 相关知识点: 试题来源: 解析 By the Sum Rule, the derivative of ( 2(cos)(t)+(sin)(2t)) with respect to ( t) is ( d/(dt)[2(cos)(t)]+d/(dt)[(sin)(2t)]). ( d/(dt)[2(cos)(t)]+d/(dt)[(sin)(2t)]) Evaluate( d/(dt...
what is the derivative of {eq}\ y=2\ sin\ x\ cos\ x \ {/eq}? Implicit Differentiation : Consider a function {eq}\displaystyle f(x) {/eq} its derivative with respect to {eq}\displaystyle x {/eq} can be found by {eq}\displaystyle \frac{d}{dx}f(x) =f'(x) {/eq} For ...
Answer and Explanation: The derivative of trigonometric functions are: (a) {eq}\displaystyle \begin{aligned} \left(-\tan x\right)' &= -\left(\frac{\sin x}{\cos x}\right)'... Learn more about this topic: Finding Derivatives of Sums, Products, Differences & Quotients ...
A. cos(x) B. -cos(x) C. sin(x) D. -sin(x) 相关知识点: 试题来源: 解析 A。根据求导公式,sin(x) 的导数是 cos(x)。选项 B 是 cos(x) 的相反数。选项 C 是原函数。选项 D 是 -sin(x),不符合求导结果。反馈 收藏