Prove, using the definition of derivative, that if f(x) = cos x, then f'(x) = -sin x. Verify the formula for the derivative of csc x = 1/sin x. Prove that the derivative of sec x is sec x tan x. 1. Use the definition of derivative to prove \lim_{n \rightarrow 2} f(...
Differentiate using the chain rule, which states that ( d/(dt)[f(g(t))]) is ( f()' (g(t))g()' (t)) where ( f(t)=e^t) and ( g(t)=4t(sin)(2t)). ( e^(4t(sin)(2t))d/(dt)[4t(sin)(2t)]) Differentiate using the ConstantMultiple Rule. ( 4⋅ e^(4t(s...
Compute the derivative of f(x) = cos(x) ln(x). Compute the derivative: \frac{d}{dt} \int_{t^2}^{t^3} \sin(x^{2}) dx. Compute the derivative. y=\sqrt{9+3x+\sin (3x)} Compute the derivative of k (x) = cos (x sin (x^3)). Compute the derivative of F(x) if F...
Answer to: Find the derivative of:{ y= 5^x + \frac{15}{x^6} } By signing up, you'll get thousands of step-by-step solutions to your homework...
y = \operatorname { ln } | \operatorname { sin } ( x ^ { 2 } ) | Find the derivative of the following functions. A) f(t) = (1)/(sqrt(8t - 3)) B) g(t) = ((4t - 3)^2)/((5t + 1)^4) Find the derivative of the following f...
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Based on first-principles calculations, we predict a class of large-gap QSH insulators in ethynyl-derivative functionalized stanene (SnC2X; X = H, F, Cl, Br, I), allowing for viable applications at room temperature. Noticeably, the SnC2Cl, SnC2Br, and SnC2I are QSH insulators ...
Find the derivative of the given function: f(z) = (sqrt(z))/(e^z + 1)^2 Find the derivative of the given function. y = x^2 sin^6 x + x cos^{-4} x Find the derivative of the given function. y = e^(-2t) cos(4t). Find the derivative of the given function. f(y)=\...
d/dx sin (mx) cos (nx). Find the derivative of d/dx integral_{x^3}^{tan x} 4t dt. Find the partial derivative dz/dx. z = (x^2 + 4x - 4y)^6 Take the derivative, dy/dx, of the equation (e^xy)+xy=2. Differentiate implicitly to find dy / dx. sec (x y) + tan (x...
Hi, i was just wondering if somebody knows how to calculate the second derivativeof equations: x=sin(4t)+cos(4t) and y=cos(4t)-sin(4t) when t=1 I got stuck because i am just learning how to use the programm. Hope you can help me. cheers Seb Replies continue below Recommended fo...