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 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 this function? g(x) = -500/x, x is not equal to 0. What is the equation of the derivative in Calculus? What is the derivative of y= xcos(x)sin(x) ? How to find derivative of number? What is the derivative of 1/x using the quotient rule?
What's the derivative of y=400(2)^{x+3}? What is the derivative of arctan(7x)? 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)...
cosec x? Solution Determine the derivative of cosec x. Let,y= cosec x⇒ y = 1sinx⇒ y = (sinx)-1 Use the formula of the chain rule y = f(g(x))⇒dydx = f'(g(x))×g'(x) Now calculate the derivative: dydx=-(sin x)-2×ddx(sin x)⇒ dydx=-cos xsin x×1sin x...
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 ...
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? x + 18 is already simplified to the greatest extent. Can 3x plus x be simplified? Yes, it can ...
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...
When finding the derivative of a function, we need to first choose a procedure to follow. If our function is the product of two or more expressions, then we need to apply the Product Rule. This technique states that {eq}(f \cdot g)' = f'g + fg' {/eq}....