Iff(x)=2sinx, then what is the derivative off'(x)? 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 preparation and CBSE, UP Board, Bihar Bo...
Finally, multiply the derivative of the exponent by the original function, e^(sin x * ln(sin x)). Is there a simpler way to express the derivative of (sin x)^sin x? Yes, you can use the power rule to simplify the derivative of (sin x)^sin x to cos x * (sin x)^sin x *...
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 ...
The correct Answer is:A To find the derivative of the function y=sin(lnx)+cos(lnx) with respect to x at x=e, we can follow these steps: Step 1: Differentiate the functionWe start with the function:y=sin(lnx)+cos(lnx) To find the derivative dydx, we will use the chain rule. The...
What is the derivative of sin x minus cos x? d/dx(sinx-cosx)=cosx--sinx=cosx+sinx How do you prove the following identity sec x - cos x equals sin x tan x? you need this identities to solve the problem..that is something you have to memorized sec x= 1/cosx 1-cos2x= sin2x ...
Differentiate. y = tan^-1 (cos x) What is the derivative of f(x) = tan^-1(x)? If tan^{-1} (\sqrt{4x^2-1}), find the derivative \frac{dy}{dx} What is the derivative of sin(\pi x)? Find the derivative of y with respect to x, if y= x \tan^{-1} (\frac{x}{2...
Now calculate the derivative: dydx=-(sin x)-2×ddx(sin x)⇒ dydx=-cos xsin x×1sin x⇒ dydx=-cot x . cosec x Hence, the derivative of cosec x is"-cot x cosec x". Suggest Corrections 37 Similar questions Q. what is the derivative of |x|? Q. What is derivative of [1x]...
What is the derivative to y= e^{-1}? What is the derivative of \ln(x-1)? What is the derivative of \ln(\sin x + \cos x) Which of the following is the derivative of x^{4}e^{x}? a) 4x^{3}e^{x} b) 4x^{3}+e^{x} c) x^{5}e^{x^{-1 + 4x^{3}e^{x} d)...
However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x). Related questions What is x plus 18 simplified...
What is the derivative ofsec−1(x+2)2=2(x+2)(x+2)−1? Differentiation of sec−1x=1xx2−1 Answer and Explanation:1 Lety=sec−1(x+2)2 Differentiation wrt x: {eq}\frac{dy}{dx}=\frac{1}{(x+2)^2\sqrt{(x+2)^4-1}} . \frac{d}{dx...