Calculate the derivative of cos(x) & understand the proof of the derivation of the derivative of cos(x). Learn the derivatives of the other...
The derivative of a function is the slope of the tangent to the function at the point of contact. Hence, -sin x is the slope function of the tangent to the graph of cos x at the point of contact. Mostly, we memorize the derivative of cos x. An easy way to do that is knowing ...
Answer to: Find the second derivative of f(x) = sin x/(1 - cos x). By signing up, you'll get thousands of step-by-step solutions to your homework...
Since ddx sin x = cos x and ddx cos x = − sin x, it is easy to use the quotient rule to differentiate the trig functions. Read Derivative of Cot(x) | Overview & Examples Lesson Recommended for You Video: When to Use the Quotient Rule for Differentiation Video: ...
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...
Derivative function: Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
sin(x)’ = cos(x) Power Rule Example: What isddxx3? The question is asking "what is the derivative of x3?" We can use thePower Rule, where n=3: ddxxn= nxn−1 ddxx3= 3x3−1=3x2 (In other words the derivative of x3is 3x2) ...
derivative of log cos x 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 NCERT Solutions for Class 9 English Medium ...
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...
Find the derivative of (sinx)^x+sin^(-1)sqrt(x) w.r.t. x 08:32 Find the derivative of sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) w.r.t. x 04:36 Find the derivative of (x+1/x)^x+x^((1+1/x)) w.r.t. x 05:58 Find the derivative of y=cos^(-1)((1-x^...