Write ( 1/(x√(x^2-1))) as a function. ( f(x)=1/(x√(x^2-1))) The function( F(x)) can be found by finding the indefinite integral of the derivative( f(x)). ( F(x)=∫ f(x)dx) Set up the integral to solve. ( F(x)=∫ 1/(x√(x^2-1))dx) Rewrite...
By contrast, 0 has only one root — itself. Remember that with the symbol √x, we always denote the non-negative root of x! There is another common way to denote square roots, which expresses the square root in terms of a fractional power: √x = x1/2 = x0.5 The rationale for ...
Solve for x sin(x/2) = square root of (1-cos(x))/2( (sin)(x/2)=√((1-(cos)(x))/2))
Find the derivative of f(x) = -3 x^4 - 2 square root x + 2 / x^2. Find derivative of the function f(x) = (x^4 + 2x) / (square root of x). Given f(x) = 8/Square root of{x}, use the limit definition of the derivative to find f...
将-1乘以-2。 f(-2)=2+1 最终答案为2+1。 y=2+1 y=2+1 y=2+1 将x的值-1代入f(x)=-x+1。在本例中,该点为(-1,2)。 使用表达式中的-1替换变量x。 f(-1)=-(-1)+1 将-1乘以-1。 f(-1)=1+1 1的任意次方根都是1。
Find thedomainof√x+17x+17. Tap for more steps... theinxgreater than or equal to0to find where theis defined. x≥0 Theis all values ofxthat make thedefined. [0,∞) [0,∞)[0,∞) Use eachrootto create testintervals. x<0x<0 ...
Since ( 1/2) is constant with respect to ( u), move ( 1/2) out of the integral. ( (arctan)(t)t]_(√x)^(2x)-(1/2(∫ )_(x+1)^(4x^2+1)1/udu)) The integral of ( 1/u) with respect to ( u) is ( (ln)(|u|)). ( (arctan)(t)t]_(√x)^(2x)-1/2(ln)(...
One square root is, from Eq. (3.44), 3eiπ/2=3eiπ/4. The other square root is, from Eq. (3.45), 3eiπ+π/4=3ei5π/4. If a complex number is represented as x+iy, it is easier to transform to polar coordinates before taking the square root of the number....
Sometimes a simple question like what is the square root of 64 has an answer that can confuse a few. In this case, we will dispel a couple of myths
Use ( √[n](a^x)=a^(x/n)) to rewrite ( √(a^2-x^2)) as ( ((a^2-x^2))^(1/2)). ( d/(da)[((a^2-x^2))^(1/2)]) Differentiate using the chain rule, which states that ( d/(da)[f(g(a))]) is ( f()' (g(a))g()' (a)) where ( f(a)=a^...