Mathematics
10.03.2021 14:55
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Find the derivative of cos^4(5x^2)
Find the derivative of cos^4(5x^2)
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jenn4887
5,0(66 marks)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/0895/7443/4bc1d.png)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/0895/7443/fb0e0.png)
Step-by-step explanation:
Step 1: Define
Identify
Step 2: Differentiate
Basic Power Rule [Derivative Rule - Chain Rule]:![\displaystyle y' = 4 \cos^3 (5x^2)[\cos (5x^2)]'](/tpl/images/0895/7443/cfef1.png)
Trigonometric Differentiation [Derivative Rule - Chain Rule]: 
Basic Power Rule [Derivative Property - Multiplied Constant]: 
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
oomale
4,8(12 marks)
Yes it will be six
Step-by-step explanation:
because the negative 5 when is crosses the equal to symbol it becomes positive so x=6
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