ddx(sin−1(x))=1√1−x2 Step 4: Substitute the derivative into the equation Now, we can substitute this formula back into our differentiation equation: dydx=1√1−x2 Final Answer Thus, the derivative ofsin−1(x)with respect toxis: ...
Solving the Derivative of ln(x) from Chapter 9 / Lesson 4 279K The well-known derivative ln(x) is one that students often find easy to memorize due to many real-life applications. Learn the step-by-step process used to solve the derivative and the application of the derivative of ln...
What is the derivative of this function sin−1(5x) ? https://socratic.org/questions/what-is-the-derivative-of-this-function-sin-1-5x (sin−1(5x))′=1−25x25 Explanation: Recall: (sin−1u)′=1−u21 ... How do you find the integral of (sin−1x)2 ? https://socratic....
What is the derivative of this function sin−1(5x) ? https://socratic.org/questions/what-is-the-derivative-of-this-function-sin-1-5x (sin−1(5x))′=1−25x25 Explanation: Recall: (sin−1u)′=1−u21 ... How do you find the integral of (sin−1x)2 ? https://socratic....
Derivative $f’$ of the function $f(x)=\sin x$ is: \(\forall x \in ]-\infty, +\infty[ , f'(x) = \cos x\) Proof/Demonstration \[\begin{aligned} \frac{\sin (x+h)-\sin x}{h}&= \frac{\sin (x) \cos (h)+\cos (x) \sin (h)-\sin x}{h} \\ \frac{\sin (x...
Find the derivative 1.y=x(sin−1(x))2−2x+21−x2⋅cos−1(x) 2.y=ln(x2+1)x3 Differentiation Techniques with Different Rules: First, we'll apply the addition and subtraction rule of derivatives to compute the ...
Sin(X分之一)的平方导数=2sin(1/x)·[sin(1/x)]'=2sin(1/x)·cos(1/x)·(-1/x平方)=-2/x平方 ·sin(1/x)·cos(1/x)。 导数(Derivative),也叫导函数值。又名微商,是微积分中的重要基础概念。当函数y=f(x)的自变量x在一点x0上产生一个增量Δx时,函数输出值的增量Δy与自变量增量Δx的...
Derivative f’ of the function f(x)=sinx is: f’(x) = cos x for any value of x.Derivative of sin xDerivative f′ of the function f(x)=sinx is: ∀x∈]−∞,+∞[,f′(x)=cosxProof/Demonstrationsin(x+h)−sinxh=sin(x)cos(h)+cos(x)sin(h...
Find the derivative of f (x) = x ^( sin ^(-1))w.r.t g (x) = Sin ^(-1)x... 04:24 Let f : R to R ,f (a) =1, f '(a) = 2 then prove that Lt (x to 0) ((... 02:45 Let f be twice differentiable function such that f^11(x) = -f(x) "and ... 03:29...
When the sine of y is equal to x: siny=x Then the arcsine of x is equal to the inverse sine function of x, which is equal to y: arcsinx= sin-1(x) =y See:Arcsin function Sine table x (°) x (rad) sin x -90°-π/2-1 ...