Webby h then the coordinates of the point on the graph will be (x+h;f(x+h)). So the slope of the secant line between this two points is f(x+ h) f(x) (x+ h) x = f(x+ h) f(x) h: As before, we want to see what happens to this quantity as our second point approaches our rst. That is, we want to see what happens when our displacement hgets closer to 0 ... WebMar 30, 2024 · Find also the local maximum and the local minimum values, as the case may be: (iii) ℎ (𝑥)=sin𝑥+cos𝑥, 0<𝑥<𝜋/2 ℎ (𝑥)=sin𝑥+cos𝑥, 0<𝑥<𝜋/2 Finding 𝒉′ (𝒙) ℎ′ (𝑥)=𝑑 (sin𝑥 + cos𝑥" " )/𝑑𝑥 ℎ^′ (𝑥)=cos𝑥−sin𝑥 Putting 𝒉′ (𝒙)=𝟎 cos𝑥−𝑠𝑖𝑛𝑥=0 cos〖𝑥=𝑠𝑖𝑛 𝑥〗 1 = sin𝑥/cos𝑥 1 = tan 𝑥 tan 𝑥=1 ∴ 𝑥=45°= 𝜋/4 Finding h’’ (𝒙) h’ (𝑥)=cos𝑥−sin𝑥 h’’ (𝑥)=−sin𝑥−cos𝑥 Putting …
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Analyzing the second derivative to find inflection points - Khan Academy
WebQuotient Rule In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h (x)=f (x)/g (x), where both f and g are … WebFind the Critical Points h (x)=sin (x)^2+cos (x) h(x) = sin2 (x) + cos (x) h ( x) = sin 2 ( x) + cos ( x) Find the first derivative. Tap for more steps... sin(2x)−sin(x) sin ( 2 x) - sin ( x) … WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. church of the nazarene easter offering