It is the inverse process of differentiation, so called anti derivative. Some important integration are as follows; (1).∫xn dx=xn+1n+1+C(2).∫sinhx dx=coshx+C(3).∫coshx dx=sinhx+C Where C is th
Find the derivative of y 1.y=\frac{1}{2}\sinh (2x+1) 2.y=\left ( 4x^{2}-1 \right )\csc h(\ln 2x) 3.y=2\sqrt{x}\tanh \sqrt{x} 4.y=\cosh ^{-1}2\sqrt{x+1} What is the derivative of csc(x)? Find the derivative of the function y = ( \csc x + \cot x)^...
What is the derivative ofsecx(tanx−secx)? Question: What is the derivative ofsecx(tanx−secx)? The Derivative of a Function: The strategy of finding the derivative of a function is dependent on the format of the function. If the function is the product of ...
What is the derivative of y = \ln 3x^2 ? a) y' = \frac{2}{x} b) y' = \ln 6x c) y' = 2 \ln 3 d) y' = e^{6x} Find the derivitive of each function a) f(x)=tan^{-1}(e^x) b) g(t)=sin^{-1}(ln(t)) c) h(w)=e^{-wb}cosh(w) d) f(x)=2sin(x...
By taking the first and second derivative of (36), we can see that our point-curves are solutions to the equation of motion + 2−1=0. (38) This is then the analog of Eq. (21) in [45]. As explained there, it is natural to obtain a second-order differential equa- tion, since...
What is the derivative of the following function:y=cos(x)1−cos(x)? Quotient Rule: We can differentiate the fraction of two differentiable functions by simply applying the quotient rule given below: (fg)′=f′⋅g−g′⋅fg2
What is the derivative of y=sin2xtanx2? The derivative of the trigonometric function: One common method in evaluating a function is differentiation. Differentiation is the rate of change of quantities. Using the rules and general formulas of derivatives we can easily differentiate the given...
Definition and Properties of Derivatives: Considering any function {eq}y=f(x) {/eq} of one variable. Then the derivative of the function with respect to {eq}x {/eq} at any point {eq}x=a {/eq} is given by: {eq}f'(x) = \mathop {\lim }\limits_{h \to 0} \frac{{f(x +...
What is the derivative of the following function: f(x) = sin^3(2x)? What is the derivative of the following function: y = csc(t^2+t)? What is the derivative of the following function: f(x) = (x^2 + x) \; tan(x)?
What is the first derivative of π5−4π with respect to π Derivatives: Derivatives are used to measure the rate of change of a variable with respect to change in the other variable. In the given problem we will derivate the function w.r.t to pi, therefore pi will be c...