What is the derivative of sin(x^2 + 5) cos(x^2 + 9x + 2)? Compute the derivative. H(t) = 11 \ sin \ t \ sec^{2t} Find the derivative of the function. y = 4 sec^2 x Find the derivative of the function y = \ln (\sec^2 x) ...
Derivatives of Trigonometric Functions These derivatives are helpful in solving the problem: ddtsect=secttant ddttant=sec2t Answer and Explanation:1 Considerg(t)=4sect+tant. $$\begin{align} g'(t)&=\dfrac{d}{dt}4\sec...
Derivative of Secant: Find dy/dx Homework Statement Find dy/dx for ##~y=\sec^2(5x)## Homework Equations Secant and it's derivative: $$\sec\,x=\frac{1}{\cos\,x}$$ $$\sec'\,x=\tan\,x\cdot\sec\,x$$The Attempt at a Solution $$y=\sec^2(5x)~\rightarrow~y'=2\cdot 5 ...
≤ x < 0, x + (π/2) ; for x < -π/2 _ For the interval (0,∞), we are interested in f such that f(x) = (tan x) / (1 + ³√x) ; for x ≥ 0 f(x) = tan x / (1 + x¹ʹ³) (1 + x¹ʹ³)•sec²...
Alltheseabovecanbeusedtodenotethederivativeofy=f(x).Derivativeformulapage1 n'0(xn)'nxn1(e)'e xx (ax)'axlna1(lnx)'xlnx1(logax)'()'lnaxlna Derivativeformulapage2 (sinx)'cosx(cosx)'sinx1(tanx)'sec2xcos2x1(cotx)'csc2xsin2x1(...
Find the derivative of the function. y = int sqrt x3 sqrt x sqrt t sin t6 dtCompute the derivative. H(t) = \sin t \sec^2 tFind the derivative: f(t) = \sin 4tFind the derivative of d d t e ? t ? sin ( t )Co...
Find the derivative. d/dx(tan x - sec x). Find the derivative g ( x ) = \frac { e ^ { x } } { x }. Find the derivative. w = z^(-4) - 1/z. Find the derivative. f(t) = 2^{-t^2} sin(1 - 2t) Find the derivative of f(x) = ex + e-x / ex - e-x ...
3. A grapefruit is tossed straight up with an initial veloc- ity of 50 ft/sec. The grapefruit is 5 feet above the ground when it is released. Its height at time t is given by 9. True or false? Give an explanation for your answer. The global maximum of f (x) = x2 on every...
f(t). f(t)=cos2(t) Question: Find the derivativedfdt,given the functionf(t). f(t)=cos2(t) The Chain Rule: The chain rule can be used to find the derivative of a function that is raised to an exponent. The rule is as follows: ...
Also, we have (a)ddt(xn)=nxn−1,n≠1,(b)ddt(tant)=sec2t,(c)ddt(sect)=secttant. Answer and Explanation: Here we need to find the derivative of f(t)=5ttan(t)+3sec(t). So differentiating, we get {eq}\displaystyle...