Inverse sine is one of the inverse trigonometric functions of the sine function and it is written as sin-1x and is read as "sin inverse x". Then by the definition of inverse sine, θ = sin-1[ (opposite side) / (hypotenuse) ]
= 1/√1-4x⁶ (6x2) Answer: The derivative of sin-1(2x3) is (6x2)/√1-4x⁶. Example 2: Find the derivative of sin-1x + cos-1x. Solution: By the derivatives of inverse trig functions, d/dx (sin-1x) = 1/√1-x² d/dx (cos-1x) = -1/√1-x² Thus, d/dx ...
What is the inverse of y = 4x^2 - 5? What is the inverse of f(x)=(1/4)^x + 3? Find the inverse of f (x) and then verify your result. f (x) = 1 / {x - 3} Find the inverse of the relation: bracket of (0, 1), (5, 6), (-2, -4). ...
g(x)=4x+20. The inverse of a Function:Functions are relations containing two variables. We can perform arithmetic and algebraic operations with them and also develop their graph. One of the operations that we can perform with functions is to find their inverse; it consists of finding ...
Find the inverse of the function f : R rarr R defined by f(x) = 4x - 7... 01:42 Let f(x+y)=f(x)f(y) for all x,y in Rand f(0)!=0. Let phi(x)=f(x)/(1+f(... 05:18 Let f be a real valued function satisfying 2f(xy) = {f(x)}^(y) + {f... 05:17 ...
Step 2: Interchange x and y and find y in terms of x. Step 3: x = 4y - 7/4 [Interchange x and y.] Step 4: 4x = 4y - 7 [Multiply throughout by 4.] Step 5: 4x + 7 = 4y [Add 7 to both sides of the equation.] Step 6: 4x + 7/4 = y Step 7: The inverse fu...
What is the inverse of the function f(x) = 2x + 1? What is the inverse function of f(x) = 3^(x - 1)? What is the inverse function of f(x) = 3x - 1? What is the inverse of the function f(x) = 4x? What is the inverse of the function f(x) = x + 2?
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Find the inverse function of f(x) = 4(x - 2). Find the inverse function of f(x) = \sqrt{(3x - 1)} + 5. (A) Find the inverse function of f f(x) = -6 + \sqrt{-6 + 5x} (B) Find {(f^{-1})}' (a) f(x) = 4x^{3} + 3x^{2} + 5x + 9, a = 9 Find ...
所以(6ax+2b)+(3ax^2+2bx+c)=2x^2+1 所以3a=2,6a+2b=0,2b+c=1 a=2/3,b=-2,c=4 故特解为Y=2/3x^3-2x^2+4x 原方程对应齐次方程的特征方程为r^2+r=0 r=-1或r=0 所以齐次方程的通解为y*=C1e^(-x)+C2 原方程的通解为y=C1e^(-x)+C2+2/3x^2-2x^2+4x ...