WebDerivative of x*x Derivative of x^-4 Identical expressions; e^arcsin(cos(x^ two)) e to the power of arc sinus of ( co sinus of e of (x squared )) e to the power of arc sinus of ( co … WebJun 23, 2016 · There are two methods: Using the pre-memorized arcsine derivative: You may already know that the derivative of arcsine is: d dx arcsin(x) = 1 √1 − x2 We can apply the chain rule to this for arcsin(ex): d dx arcsin(ex) = 1 √1 − (ex)2 ⋅ d dx ex = ex √1 −e2x Without knowing the arcsine derivative: Let y = arcsin(ex) Thus: sin(y) = ex
Derivative of inverse sine (video) Khan Academy
WebSep 10, 2016 · Explanation: Alternative approach (basically the same as the one already presented): Note that y = arcsin(ex) can be manipulated to say that sin(y) = ex. Take the derivative of both sides with respect to x. Recall that the chain rule will be used on the left side: cos(y) dy dx = ex Solving for dy dx gives dy dx = ex cos(y). WebFeb 3, 2024 · The inverse trigonometric functions include the inverse sine, inverse cosine, inverse tangent, inverse cotangent, inverse secant and inverse cosecant. They are also called the arcsine, arccosine, arctangent, arccotangent, arcsecant and arccosecant. In addition, these functions are continuous at every point in their domains. can a family member be served on your behalf
Inverse trigonometric functions - Wikipedia
WebInstructions. Enter the function to differentiate. Enter the variable you want the derivative to be calculated with respect to. Enter the the degree/order of differentiation. The calculator will provide the n'th derivative of the function with respect to the variable. For most first order derivatives, the steps will also be shown. WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. Functions. Line Equations Functions Arithmetic & Comp. Conic Sections Transformation. Linear Algebra. Matrices Vectors. Trigonometry. WebDerivative of x*x Derivative of x^-4 Identical expressions; e^arcsin(cos(x^ two)) e to the power of arc sinus of ( co sinus of e of (x squared )) e to the power of arc sinus of ( co sinus of e of (x to the power of two)) earcsin(cos(x2)) earcsincosx2; e^arcsin(cos(x²)) e to the power of arcsin(cos(x to the power of 2)) e^arcsincosx^2 ... can a family member pick up my adderall