WebObtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h = 0.2 at point x= 0.6, in addition to obtaining the first derivative with the 5-point formula, as well as the second derivative with the formula of your choice . WebAt a point x = a x = a, the derivative is defined to be f ′(a) = lim h→0 f(a+h)−f(h) h f ′ ( a) = lim h → 0 f ( a + h) − f ( h) h. This limit is not guaranteed to exist, but if it does, f (x) f ( x) is said to be differentiable at x = a x = a. Geometrically speaking, f ′(a) f ′ ( a) is the slope of the tangent line of f (x) f ( x) at x = a x = a.
Find the derivative of the function. \[ y=\sin Chegg.com
WebAnswer to Find the derivative of the function. \[ y=\sin WebMar 16, 2024 · 3 Answers. With due acknowledgement to @Friedrich Philipp's comment, the functions f, g and h in the chain rule are here f ( x) = sin ( x), g ( x) = tan ( x) and h ( x) = x 2. You have y = f ( g ( h ( x))). The chain rule, applied twice, says y ′ = f ′ ( g ( h ( x))) ⋅ g ′ ( h ( x)) ⋅ h ′ ( x) .We have. portmeirion england
Derivative of Tan 2x - Proof, Differentiation of Tan 2x - Cuemath
WebExamples Using Derivative of Sin 2x Example 1: Find the derivative of sin (2x + 1). Solution: Let f (x) = sin (2x + 1) Using the chain rule, f' (x) = cos (2x + 1) d/dx (2x + 1) = cos (2x + 1) (2) = 2 cos (2x+1) Answer: The derivative of sin (2x + 1) is 2 cos (2x + 1). Example 2: What is the derivative of sin 2 x cos x? Solution: WebThe derivative of sine is cosine: Then, apply the chain rule. Multiply by : The derivative of a constant times a function is the constant times the derivative of the function. Apply the power rule: goes to . So, the result is: The result of the chain rule is: To find : Let . The derivative of cosine is negative sine: Then, apply the chain rule ... WebThe derivative of any function y = f ( x ) of a variable x is a measure of the rate at which the value y changes with respect to the change of x . Answer: The derivative of y = tan 2 x is dy/dx = 2 sec 2 x tan x Let us proceed for this problem step by step. Explanation: We can proceed by using chain rule. options in linux commands