What is the derivative of this in calculus? g (x) = \frac {(2x+1)^7(x-2)^4}{cos^2 x \sqrt {2x-1 What is the derivative of g(x)=ln(x^{10})+e^{ln(x)}? What is a derivative? What is the second derivative? What is the derivative of ln(sinh x)?
•sinh(x)—hyperbolic sine •cosh(x)—hyperbolic cosine •tanh(x)—hyperbolic tangent •coth(x)—hyperbolic cotangent •sech(x)—hyperbolic secant •csch(x)—hyperbolic cosecant •arsinh(x)—inverse hyperbolic sine •arcosh(x)—inverse hyperbolic cosine ...
Derivative of arcsin x Derivative $f’$ of function $f(x)=\arcsin{x}$ is: \(\forall x \in ]–1, 1[ ,\quad f'(x) = \dfrac{1}{\sqrt{1-x^2}}\) Proof Remember that function $\arcsin$ is the inverse function of $\sin$ : \[\left(f^{-1} \circ f\right)=\left(\sin ...
Answer to: Find the derivative of tan inverse of square root of (1+x)/(1-x). By signing up, you'll get thousands of step-by-step solutions to your...
Find the derivative of (sqrt(x) - 3x) (x + 1/x) Text Solution Find the derivative of 5 sin x + e^(x) log x . 01:48 Find the derivative of 5^(x) + log x + x^(2) e^(x) 01:35 Find the derivative of y = e^(2x)log (3x + 4) 03:27 Find the derivative of (1 ...
Derivative of sin x Derivative f’ of the function f(x)=sinx is: f’(x) = cos x for any value of x. Derivative of sin x Derivative $f’$ of the function $f(x)=\sin x$ is: \(\forall x \in ]-\infty, +\infty[ , f'(x) = \cos x\)...
Derivative f’ of function f(x)=arctan x is: f’(x) = 1 / (1 + x²) for all x real. To show this result, we use derivative of the inverse function tan x.
Homework Statement In calculus, I learn that the derivative of the inverse function is g'(x) = 1/ f'(g(x)) Homework Equations So.. The Attempt at a Solution Can someone give me an example of where I need to know this, or is this just a math exercise. Is there a relatively simpl...
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sinh-1x Inverse hyperbolic cosine cosh-1x Inverse hyperbolic tangent tanh-1x Derivative examples Example #1 f(x) =x3+5x2+x+8 f '(x) = 3x2+2⋅5x+1+0 = 3x2+10x+1 Example #2 f(x) = sin(3x2) When applying the chain rule: ...