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Step-by-step Solution
How should I solve this problem?
- Find the derivative using the definition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Calculate the power $2^2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(4\cos\left(\pi x\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of y=cos(pix)2^2 using the definition. Calculate the power 2^2. Find the derivative of 4\cos\left(\pi x\right) using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 4\cos\left(\pi x\right). Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term \pi by each term of the polynomial \left(x+h\right). Using the cosine of a sum formula: \cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta), where angle \alpha equals \pi x, and angle \beta equals \pi h.